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Finding the Fourth Proportional to 429,874.20, 644,811.30 and 411,672.60

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Solution

The fourth proportional to 429,874.20, 644,811.30 and 411,672.60 is: 617,508.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,874.20 : 644,811.30 = 411,672.60 : x
  2. Step 2: Convert to fraction form
    429,874.20/644,811.30 = 411,672.60/x
  3. Step 3: Cross multiply
    429,874.20x = 644,811.30 × 411,672.60
  4. Step 4: Simplify right side
    429,874.20x = 265,451,144,380.38
  5. Step 5: Solve for x
    x = 265,451,144,380.38/429,874.20
  6. Step 6: Final answer
    x = 617,508.90

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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.