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Finding the Fourth Proportional to 461,142.60, 691,713.90 and 431,399.40

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Solution

The fourth proportional to 461,142.60, 691,713.90 and 431,399.40 is: 647,099.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,142.60 : 691,713.90 = 431,399.40 : x
  2. Step 2: Convert to fraction form
    461,142.60/691,713.90 = 431,399.40/x
  3. Step 3: Cross multiply
    461,142.60x = 691,713.90 × 431,399.40
  4. Step 4: Simplify right side
    461,142.60x = 298,404,961,431.66
  5. Step 5: Solve for x
    x = 298,404,961,431.66/461,142.60
  6. Step 6: Final answer
    x = 647,099.10

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Similar ratio
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1.5x scale

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.