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Finding the Fourth Proportional to 561,672.80, 842,509.20 and 428,812.55

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Solution

The fourth proportional to 561,672.80, 842,509.20 and 428,812.55 is: 643,218.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,672.80 : 842,509.20 = 428,812.55 : x
  2. Step 2: Convert to fraction form
    561,672.80/842,509.20 = 428,812.55/x
  3. Step 3: Cross multiply
    561,672.80x = 842,509.20 × 428,812.55
  4. Step 4: Simplify right side
    561,672.80x = 361,278,518,450.46
  5. Step 5: Solve for x
    x = 361,278,518,450.46/561,672.80
  6. Step 6: Final answer
    x = 643,218.83

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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.