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Finding the Fourth Proportional to 415,219.40, 622,829.10 and 134,736.65

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Solution

The fourth proportional to 415,219.40, 622,829.10 and 134,736.65 is: 202,104.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,219.40 : 622,829.10 = 134,736.65 : x
  2. Step 2: Convert to fraction form
    415,219.40/622,829.10 = 134,736.65/x
  3. Step 3: Cross multiply
    415,219.40x = 622,829.10 × 134,736.65
  4. Step 4: Simplify right side
    415,219.40x = 83,917,906,456.52
  5. Step 5: Solve for x
    x = 83,917,906,456.52/415,219.40
  6. Step 6: Final answer
    x = 202,104.98

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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.