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Finding the Fourth Proportional to 429,065.91, 643,577.96 and 159,246.57

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Solution

The fourth proportional to 429,065.91, 643,577.96 and 159,246.57 is: 238,862.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,065.91 : 643,577.96 = 159,246.57 : x
  2. Step 2: Convert to fraction form
    429,065.91/643,577.96 = 159,246.57/x
  3. Step 3: Cross multiply
    429,065.91x = 643,577.96 × 159,246.57
  4. Step 4: Simplify right side
    429,065.91x = 102,487,581,861.36
  5. Step 5: Solve for x
    x = 102,487,581,861.36/429,065.91
  6. Step 6: Final answer
    x = 238,862.09

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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.