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Finding the Fourth Proportional to 415,200.40, 622,800.60 and 134,717.65

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Solution

The fourth proportional to 415,200.40, 622,800.60 and 134,717.65 is: 202,076.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,200.40 : 622,800.60 = 134,717.65 : x
  2. Step 2: Convert to fraction form
    415,200.40/622,800.60 = 134,717.65/x
  3. Step 3: Cross multiply
    415,200.40x = 622,800.60 × 134,717.65
  4. Step 4: Simplify right side
    415,200.40x = 83,902,233,250.59
  5. Step 5: Solve for x
    x = 83,902,233,250.59/415,200.40
  6. Step 6: Final answer
    x = 202,076.48

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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.