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Finding the Fourth Proportional to 516,309.27, 712,583.78 and 407,163.39

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Solution

The fourth proportional to 516,309.27, 712,583.78 and 407,163.39 is: 561,946.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,309.27 : 712,583.78 = 407,163.39 : x
  2. Step 2: Convert to fraction form
    516,309.27/712,583.78 = 407,163.39/x
  3. Step 3: Cross multiply
    516,309.27x = 712,583.78 × 407,163.39
  4. Step 4: Simplify right side
    516,309.27x = 290,138,025,488.00
  5. Step 5: Solve for x
    x = 290,138,025,488.00/516,309.27
  6. Step 6: Final answer
    x = 561,946.19

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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.