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Finding the Fourth Proportional to 429,475.80, 644,006.10 and 159,417.72

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Solution

The fourth proportional to 429,475.80, 644,006.10 and 159,417.72 is: 239,049.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,475.80 : 644,006.10 = 159,417.72 : x
  2. Step 2: Convert to fraction form
    429,475.80/644,006.10 = 159,417.72/x
  3. Step 3: Cross multiply
    429,475.80x = 644,006.10 × 159,417.72
  4. Step 4: Simplify right side
    429,475.80x = 102,665,984,128.09
  5. Step 5: Solve for x
    x = 102,665,984,128.09/429,475.80
  6. Step 6: Final answer
    x = 239,049.52

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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.