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Finding the Fourth Proportional to 412,800.30, 619,200.45 and 132,345.90

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Solution

The fourth proportional to 412,800.30, 619,200.45 and 132,345.90 is: 198,518.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,800.30 : 619,200.45 = 132,345.90 : x
  2. Step 2: Convert to fraction form
    412,800.30/619,200.45 = 132,345.90/x
  3. Step 3: Cross multiply
    412,800.30x = 619,200.45 × 132,345.90
  4. Step 4: Simplify right side
    412,800.30x = 81,948,640,835.66
  5. Step 5: Solve for x
    x = 81,948,640,835.66/412,800.30
  6. Step 6: Final answer
    x = 198,518.85

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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.