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Finding the Fourth Proportional to 412,964.40, 619,446.60 and 146,751.83

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Solution

The fourth proportional to 412,964.40, 619,446.60 and 146,751.83 is: 220,127.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,964.40 : 619,446.60 = 146,751.83 : x
  2. Step 2: Convert to fraction form
    412,964.40/619,446.60 = 146,751.83/x
  3. Step 3: Cross multiply
    412,964.40x = 619,446.60 × 146,751.83
  4. Step 4: Simplify right side
    412,964.40x = 90,904,919,040.05
  5. Step 5: Solve for x
    x = 90,904,919,040.05/412,964.40
  6. Step 6: Final answer
    x = 220,127.74

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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.