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Finding the Fourth Proportional to 649,675.90, 974,513.85 and 471,346.30

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Solution

The fourth proportional to 649,675.90, 974,513.85 and 471,346.30 is: 707,019.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,675.90 : 974,513.85 = 471,346.30 : x
  2. Step 2: Convert to fraction form
    649,675.90/974,513.85 = 471,346.30/x
  3. Step 3: Cross multiply
    649,675.90x = 974,513.85 × 471,346.30
  4. Step 4: Simplify right side
    649,675.90x = 459,333,497,496.26
  5. Step 5: Solve for x
    x = 459,333,497,496.26/649,675.90
  6. Step 6: Final answer
    x = 707,019.45

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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.