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Finding the Fourth Proportional to 429,073.59, 643,589.48 and 159,254.25

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Solution

The fourth proportional to 429,073.59, 643,589.48 and 159,254.25 is: 238,873.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,073.59 : 643,589.48 = 159,254.25 : x
  2. Step 2: Convert to fraction form
    429,073.59/643,589.48 = 159,254.25/x
  3. Step 3: Cross multiply
    429,073.59x = 643,589.48 × 159,254.25
  4. Step 4: Simplify right side
    429,073.59x = 102,494,361,550.16
  5. Step 5: Solve for x
    x = 102,494,361,550.16/429,073.59
  6. Step 6: Final answer
    x = 238,873.62

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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.