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Finding the Fourth Proportional to 516,516.77, 712,744.16 and 478,430.16

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Solution

The fourth proportional to 516,516.77, 712,744.16 and 478,430.16 is: 660,188.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,516.77 : 712,744.16 = 478,430.16 : x
  2. Step 2: Convert to fraction form
    516,516.77/712,744.16 = 478,430.16/x
  3. Step 3: Cross multiply
    516,516.77x = 712,744.16 × 478,430.16
  4. Step 4: Simplify right side
    516,516.77x = 340,998,302,507.87
  5. Step 5: Solve for x
    x = 340,998,302,507.87/516,516.77
  6. Step 6: Final answer
    x = 660,188.26

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.