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Finding the Fourth Proportional to 412,951.28, 619,368.60 and 132,432.08

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Solution

The fourth proportional to 412,951.28, 619,368.60 and 132,432.08 is: 198,629.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,951.28 : 619,368.60 = 132,432.08 : x
  2. Step 2: Convert to fraction form
    412,951.28/619,368.60 = 132,432.08/x
  3. Step 3: Cross multiply
    412,951.28x = 619,368.60 × 132,432.08
  4. Step 4: Simplify right side
    412,951.28x = 82,024,271,984.69
  5. Step 5: Solve for x
    x = 82,024,271,984.69/412,951.28
  6. Step 6: Final answer
    x = 198,629.42

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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.