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Finding the Fourth Proportional to 412,911.10, 619,366.65 and 132,456.70

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Solution

The fourth proportional to 412,911.10, 619,366.65 and 132,456.70 is: 198,685.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,911.10 : 619,366.65 = 132,456.70 : x
  2. Step 2: Convert to fraction form
    412,911.10/619,366.65 = 132,456.70/x
  3. Step 3: Cross multiply
    412,911.10x = 619,366.65 × 132,456.70
  4. Step 4: Simplify right side
    412,911.10x = 82,039,262,549.06
  5. Step 5: Solve for x
    x = 82,039,262,549.06/412,911.10
  6. Step 6: Final answer
    x = 198,685.05

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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.