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Finding the Fourth Proportional to 415,340.80, 622,780.80 and 178,643.20

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Solution

The fourth proportional to 415,340.80, 622,780.80 and 178,643.20 is: 267,865.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,340.80 : 622,780.80 = 178,643.20 : x
  2. Step 2: Convert to fraction form
    415,340.80/622,780.80 = 178,643.20/x
  3. Step 3: Cross multiply
    415,340.80x = 622,780.80 × 178,643.20
  4. Step 4: Simplify right side
    415,340.80x = 111,255,555,010.56
  5. Step 5: Solve for x
    x = 111,255,555,010.56/415,340.80
  6. Step 6: Final answer
    x = 267,865.70

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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.