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Finding the Fourth Proportional to 516,686.02, 713,023.50 and 290,331.52

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Solution

The fourth proportional to 516,686.02, 713,023.50 and 290,331.52 is: 400,655.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,686.02 : 713,023.50 = 290,331.52 : x
  2. Step 2: Convert to fraction form
    516,686.02/713,023.50 = 290,331.52/x
  3. Step 3: Cross multiply
    516,686.02x = 713,023.50 × 290,331.52
  4. Step 4: Simplify right side
    516,686.02x = 207,013,196,550.72
  5. Step 5: Solve for x
    x = 207,013,196,550.72/516,686.02
  6. Step 6: Final answer
    x = 400,655.70

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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.