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Finding the Fourth Proportional to 429,472.80, 644,001.60 and 159,414.72

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Solution

The fourth proportional to 429,472.80, 644,001.60 and 159,414.72 is: 239,045.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,472.80 : 644,001.60 = 159,414.72 : x
  2. Step 2: Convert to fraction form
    429,472.80/644,001.60 = 159,414.72/x
  3. Step 3: Cross multiply
    429,472.80x = 644,001.60 × 159,414.72
  4. Step 4: Simplify right side
    429,472.80x = 102,663,334,743.55
  5. Step 5: Solve for x
    x = 102,663,334,743.55/429,472.80
  6. Step 6: Final answer
    x = 239,045.02

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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.