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Finding the Fourth Proportional to 445,420, 668,241.43 and 129,876.91

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Solution

The fourth proportional to 445,420, 668,241.43 and 129,876.91 is: 194,847.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,420 : 668,241.43 = 129,876.91 : x
  2. Step 2: Convert to fraction form
    445,420/668,241.43 = 129,876.91/x
  3. Step 3: Cross multiply
    445,420x = 668,241.43 × 129,876.91
  4. Step 4: Simplify right side
    445,420x = 86,789,132,062.38
  5. Step 5: Solve for x
    x = 86,789,132,062.38/445,420
  6. Step 6: Final answer
    x = 194,847.86

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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.