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Finding the Fourth Proportional to 438,404.80, 658,298.40 and 251,780.80

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Solution

The fourth proportional to 438,404.80, 658,298.40 and 251,780.80 is: 378,068.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,404.80 : 658,298.40 = 251,780.80 : x
  2. Step 2: Convert to fraction form
    438,404.80/658,298.40 = 251,780.80/x
  3. Step 3: Cross multiply
    438,404.80x = 658,298.40 × 251,780.80
  4. Step 4: Simplify right side
    438,404.80x = 165,746,897,790.72
  5. Step 5: Solve for x
    x = 165,746,897,790.72/438,404.80
  6. Step 6: Final answer
    x = 378,068.16

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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.