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Finding the Fourth Proportional to 461,134.60, 691,701.90 and 431,391.40

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Solution

The fourth proportional to 461,134.60, 691,701.90 and 431,391.40 is: 647,087.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,134.60 : 691,701.90 = 431,391.40 : x
  2. Step 2: Convert to fraction form
    461,134.60/691,701.90 = 431,391.40/x
  3. Step 3: Cross multiply
    461,134.60x = 691,701.90 × 431,391.40
  4. Step 4: Simplify right side
    461,134.60x = 298,394,251,023.66
  5. Step 5: Solve for x
    x = 298,394,251,023.66/461,134.60
  6. Step 6: Final answer
    x = 647,087.10

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Similar ratio
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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.