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Finding the Fourth Proportional to 521,452.80, 781,012.80 and 428,140.80

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Solution

The fourth proportional to 521,452.80, 781,012.80 and 428,140.80 is: 641,253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,452.80 : 781,012.80 = 428,140.80 : x
  2. Step 2: Convert to fraction form
    521,452.80/781,012.80 = 428,140.80/x
  3. Step 3: Cross multiply
    521,452.80x = 781,012.80 × 428,140.80
  4. Step 4: Simplify right side
    521,452.80x = 334,383,445,002.24
  5. Step 5: Solve for x
    x = 334,383,445,002.24/521,452.80
  6. Step 6: Final answer
    x = 641,253.52

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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.