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Finding the Fourth Proportional to 649,877.90, 974,816.85 and 460,921.10

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Solution

The fourth proportional to 649,877.90, 974,816.85 and 460,921.10 is: 691,381.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,877.90 : 974,816.85 = 460,921.10 : x
  2. Step 2: Convert to fraction form
    649,877.90/974,816.85 = 460,921.10/x
  3. Step 3: Cross multiply
    649,877.90x = 974,816.85 × 460,921.10
  4. Step 4: Simplify right side
    649,877.90x = 449,313,654,800.54
  5. Step 5: Solve for x
    x = 449,313,654,800.54/649,877.90
  6. Step 6: Final answer
    x = 691,381.65

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.