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Finding the Fourth Proportional to 429,447.64, 643,971.46 and 159,387.70

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Solution

The fourth proportional to 429,447.64, 643,971.46 and 159,387.70 is: 239,007.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,447.64 : 643,971.46 = 159,387.70 : x
  2. Step 2: Convert to fraction form
    429,447.64/643,971.46 = 159,387.70/x
  3. Step 3: Cross multiply
    429,447.64x = 643,971.46 × 159,387.70
  4. Step 4: Simplify right side
    429,447.64x = 102,641,129,875.04
  5. Step 5: Solve for x
    x = 102,641,129,875.04/429,447.64
  6. Step 6: Final answer
    x = 239,007.32

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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.