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Finding the Fourth Proportional to 412,760.32, 619,202 and 146,498.55

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Solution

The fourth proportional to 412,760.32, 619,202 and 146,498.55 is: 219,769.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,760.32 : 619,202 = 146,498.55 : x
  2. Step 2: Convert to fraction form
    412,760.32/619,202 = 146,498.55/x
  3. Step 3: Cross multiply
    412,760.32x = 619,202 × 146,498.55
  4. Step 4: Simplify right side
    412,760.32x = 90,712,195,157.10
  5. Step 5: Solve for x
    x = 90,712,195,157.10/412,760.32
  6. Step 6: Final answer
    x = 219,769.66

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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.