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Finding the Fourth Proportional to 443,764.60, 665,646.90 and 307,951.90

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Solution

The fourth proportional to 443,764.60, 665,646.90 and 307,951.90 is: 461,927.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,764.60 : 665,646.90 = 307,951.90 : x
  2. Step 2: Convert to fraction form
    443,764.60/665,646.90 = 307,951.90/x
  3. Step 3: Cross multiply
    443,764.60x = 665,646.90 × 307,951.90
  4. Step 4: Simplify right side
    443,764.60x = 204,987,227,584.11
  5. Step 5: Solve for x
    x = 204,987,227,584.11/443,764.60
  6. Step 6: Final answer
    x = 461,927.85

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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.