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Finding the Fourth Proportional to 415,204.80, 622,960.80 and 134,731.20

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Solution

The fourth proportional to 415,204.80, 622,960.80 and 134,731.20 is: 202,146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,204.80 : 622,960.80 = 134,731.20 : x
  2. Step 2: Convert to fraction form
    415,204.80/622,960.80 = 134,731.20/x
  3. Step 3: Cross multiply
    415,204.80x = 622,960.80 × 134,731.20
  4. Step 4: Simplify right side
    415,204.80x = 83,932,256,136.96
  5. Step 5: Solve for x
    x = 83,932,256,136.96/415,204.80
  6. Step 6: Final answer
    x = 202,146.64

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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.