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Finding the Fourth Proportional to 415,212.80, 622,588.80 and 178,515.20

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Solution

The fourth proportional to 415,212.80, 622,588.80 and 178,515.20 is: 267,673.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,212.80 : 622,588.80 = 178,515.20 : x
  2. Step 2: Convert to fraction form
    415,212.80/622,588.80 = 178,515.20/x
  3. Step 3: Cross multiply
    415,212.80x = 622,588.80 × 178,515.20
  4. Step 4: Simplify right side
    415,212.80x = 111,141,564,149.76
  5. Step 5: Solve for x
    x = 111,141,564,149.76/415,212.80
  6. Step 6: Final answer
    x = 267,673.74

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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.