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Finding the Fourth Proportional to 515,254.32, 773,103.96 and 278,763.48

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Solution

The fourth proportional to 515,254.32, 773,103.96 and 278,763.48 is: 418,265.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,254.32 : 773,103.96 = 278,763.48 : x
  2. Step 2: Convert to fraction form
    515,254.32/773,103.96 = 278,763.48/x
  3. Step 3: Cross multiply
    515,254.32x = 773,103.96 × 278,763.48
  4. Step 4: Simplify right side
    515,254.32x = 215,513,150,291.38
  5. Step 5: Solve for x
    x = 215,513,150,291.38/515,254.32
  6. Step 6: Final answer
    x = 418,265.59

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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.