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Finding the Fourth Proportional to 487,771.29, 731,663.16 and 172,006.77

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Solution

The fourth proportional to 487,771.29, 731,663.16 and 172,006.77 is: 258,012.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,771.29 : 731,663.16 = 172,006.77 : x
  2. Step 2: Convert to fraction form
    487,771.29/731,663.16 = 172,006.77/x
  3. Step 3: Cross multiply
    487,771.29x = 731,663.16 × 172,006.77
  4. Step 4: Simplify right side
    487,771.29x = 125,851,016,879.59
  5. Step 5: Solve for x
    x = 125,851,016,879.59/487,771.29
  6. Step 6: Final answer
    x = 258,012.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.