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Finding the Fourth Proportional to 518,712.71, 715,937.76 and 337,109.09

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Solution

The fourth proportional to 518,712.71, 715,937.76 and 337,109.09 is: 465,284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,712.71 : 715,937.76 = 337,109.09 : x
  2. Step 2: Convert to fraction form
    518,712.71/715,937.76 = 337,109.09/x
  3. Step 3: Cross multiply
    518,712.71x = 715,937.76 × 337,109.09
  4. Step 4: Simplify right side
    518,712.71x = 241,349,128,165.82
  5. Step 5: Solve for x
    x = 241,349,128,165.82/518,712.71
  6. Step 6: Final answer
    x = 465,284.78

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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.