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Finding the Fourth Proportional to 486,658.60, 729,987.90 and 429,577.90

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Solution

The fourth proportional to 486,658.60, 729,987.90 and 429,577.90 is: 644,366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,658.60 : 729,987.90 = 429,577.90 : x
  2. Step 2: Convert to fraction form
    486,658.60/729,987.90 = 429,577.90/x
  3. Step 3: Cross multiply
    486,658.60x = 729,987.90 × 429,577.90
  4. Step 4: Simplify right side
    486,658.60x = 313,586,669,107.41
  5. Step 5: Solve for x
    x = 313,586,669,107.41/486,658.60
  6. Step 6: Final answer
    x = 644,366.85

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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.