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Finding the Fourth Proportional to 412,759.32, 619,200.50 and 146,497.55

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Solution

The fourth proportional to 412,759.32, 619,200.50 and 146,497.55 is: 219,768.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,759.32 : 619,200.50 = 146,497.55 : x
  2. Step 2: Convert to fraction form
    412,759.32/619,200.50 = 146,497.55/x
  3. Step 3: Cross multiply
    412,759.32x = 619,200.50 × 146,497.55
  4. Step 4: Simplify right side
    412,759.32x = 90,711,352,380.28
  5. Step 5: Solve for x
    x = 90,711,352,380.28/412,759.32
  6. Step 6: Final answer
    x = 219,768.15

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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.