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Finding the Fourth Proportional to 429,471, 644,006.52 and 159,411.24

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Solution

The fourth proportional to 429,471, 644,006.52 and 159,411.24 is: 239,042.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,471 : 644,006.52 = 159,411.24 : x
  2. Step 2: Convert to fraction form
    429,471/644,006.52 = 159,411.24/x
  3. Step 3: Cross multiply
    429,471x = 644,006.52 × 159,411.24
  4. Step 4: Simplify right side
    429,471x = 102,661,877,921.29
  5. Step 5: Solve for x
    x = 102,661,877,921.29/429,471
  6. Step 6: Final answer
    x = 239,042.63

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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.