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Finding the Fourth Proportional to 715,456.96, 987,115.32 and 428,872.48

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Solution

The fourth proportional to 715,456.96, 987,115.32 and 428,872.48 is: 591,714.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,456.96 : 987,115.32 = 428,872.48 : x
  2. Step 2: Convert to fraction form
    715,456.96/987,115.32 = 428,872.48/x
  3. Step 3: Cross multiply
    715,456.96x = 987,115.32 × 428,872.48
  4. Step 4: Simplify right side
    715,456.96x = 423,346,595,334.39
  5. Step 5: Solve for x
    x = 423,346,595,334.39/715,456.96
  6. Step 6: Final answer
    x = 591,714.97

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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.