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Finding the Fourth Proportional to 516,310.77, 712,585.85 and 407,164.89

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Solution

The fourth proportional to 516,310.77, 712,585.85 and 407,164.89 is: 561,948.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,310.77 : 712,585.85 = 407,164.89 : x
  2. Step 2: Convert to fraction form
    516,310.77/712,585.85 = 407,164.89/x
  3. Step 3: Cross multiply
    516,310.77x = 712,585.85 × 407,164.89
  4. Step 4: Simplify right side
    516,310.77x = 290,139,937,194.98
  5. Step 5: Solve for x
    x = 290,139,937,194.98/516,310.77
  6. Step 6: Final answer
    x = 561,948.26

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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.