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Finding the Fourth Proportional to 415,128, 622,692 and 134,645.25

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Solution

The fourth proportional to 415,128, 622,692 and 134,645.25 is: 201,967.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,128 : 622,692 = 134,645.25 : x
  2. Step 2: Convert to fraction form
    415,128/622,692 = 134,645.25/x
  3. Step 3: Cross multiply
    415,128x = 622,692 × 134,645.25
  4. Step 4: Simplify right side
    415,128x = 83,842,520,013
  5. Step 5: Solve for x
    x = 83,842,520,013/415,128
  6. Step 6: Final answer
    x = 201,967.88

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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.