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Finding the Fourth Proportional to 412,954.28, 619,373.10 and 132,435.08

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Solution

The fourth proportional to 412,954.28, 619,373.10 and 132,435.08 is: 198,633.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,954.28 : 619,373.10 = 132,435.08 : x
  2. Step 2: Convert to fraction form
    412,954.28/619,373.10 = 132,435.08/x
  3. Step 3: Cross multiply
    412,954.28x = 619,373.10 × 132,435.08
  4. Step 4: Simplify right side
    412,954.28x = 82,026,726,048.35
  5. Step 5: Solve for x
    x = 82,026,726,048.35/412,954.28
  6. Step 6: Final answer
    x = 198,633.92

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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.