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Finding the Fourth Proportional to 478,013.78, 659,575.12 and 287,031.27

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Solution

The fourth proportional to 478,013.78, 659,575.12 and 287,031.27 is: 396,052.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,013.78 : 659,575.12 = 287,031.27 : x
  2. Step 2: Convert to fraction form
    478,013.78/659,575.12 = 287,031.27/x
  3. Step 3: Cross multiply
    478,013.78x = 659,575.12 × 287,031.27
  4. Step 4: Simplify right side
    478,013.78x = 189,318,682,937.91
  5. Step 5: Solve for x
    x = 189,318,682,937.91/478,013.78
  6. Step 6: Final answer
    x = 396,052.78

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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.