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Finding the Fourth Proportional to 715,447.48, 987,102.22 and 428,863

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Solution

The fourth proportional to 715,447.48, 987,102.22 and 428,863 is: 591,701.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,447.48 : 987,102.22 = 428,863 : x
  2. Step 2: Convert to fraction form
    715,447.48/987,102.22 = 428,863/x
  3. Step 3: Cross multiply
    715,447.48x = 987,102.22 × 428,863
  4. Step 4: Simplify right side
    715,447.48x = 423,331,619,375.86
  5. Step 5: Solve for x
    x = 423,331,619,375.86/715,447.48
  6. Step 6: Final answer
    x = 591,701.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.