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Finding the Fourth Proportional to 429,147.78, 643,781.82 and 129,594.40

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Solution

The fourth proportional to 429,147.78, 643,781.82 and 129,594.40 is: 194,409.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,147.78 : 643,781.82 = 129,594.40 : x
  2. Step 2: Convert to fraction form
    429,147.78/643,781.82 = 129,594.40/x
  3. Step 3: Cross multiply
    429,147.78x = 643,781.82 × 129,594.40
  4. Step 4: Simplify right side
    429,147.78x = 83,430,518,693.81
  5. Step 5: Solve for x
    x = 83,430,518,693.81/429,147.78
  6. Step 6: Final answer
    x = 194,409.76

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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.