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Finding the Fourth Proportional to 518,710.86, 715,841.01 and 292,351.50

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Solution

The fourth proportional to 518,710.86, 715,841.01 and 292,351.50 is: 403,456.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,710.86 : 715,841.01 = 292,351.50 : x
  2. Step 2: Convert to fraction form
    518,710.86/715,841.01 = 292,351.50/x
  3. Step 3: Cross multiply
    518,710.86x = 715,841.01 × 292,351.50
  4. Step 4: Simplify right side
    518,710.86x = 209,277,193,035.02
  5. Step 5: Solve for x
    x = 209,277,193,035.02/518,710.86
  6. Step 6: Final answer
    x = 403,456.36

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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.