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Finding the Fourth Proportional to 429,454.31, 643,979.09 and 159,395.31

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Solution

The fourth proportional to 429,454.31, 643,979.09 and 159,395.31 is: 239,017.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,454.31 : 643,979.09 = 159,395.31 : x
  2. Step 2: Convert to fraction form
    429,454.31/643,979.09 = 159,395.31/x
  3. Step 3: Cross multiply
    429,454.31x = 643,979.09 × 159,395.31
  4. Step 4: Simplify right side
    429,454.31x = 102,647,247,082.56
  5. Step 5: Solve for x
    x = 102,647,247,082.56/429,454.31
  6. Step 6: Final answer
    x = 239,017.86

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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.