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Finding the Fourth Proportional to 649,896.90, 974,845.35 and 460,940.10

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Solution

The fourth proportional to 649,896.90, 974,845.35 and 460,940.10 is: 691,410.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,896.90 : 974,845.35 = 460,940.10 : x
  2. Step 2: Convert to fraction form
    649,896.90/974,845.35 = 460,940.10/x
  3. Step 3: Cross multiply
    649,896.90x = 974,845.35 × 460,940.10
  4. Step 4: Simplify right side
    649,896.90x = 449,345,313,113.54
  5. Step 5: Solve for x
    x = 449,345,313,113.54/649,896.90
  6. Step 6: Final answer
    x = 691,410.15

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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.