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Finding the Fourth Proportional to 412,644.72, 619,142.10 and 225,437.52

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Solution

The fourth proportional to 412,644.72, 619,142.10 and 225,437.52 is: 338,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,644.72 : 619,142.10 = 225,437.52 : x
  2. Step 2: Convert to fraction form
    412,644.72/619,142.10 = 225,437.52/x
  3. Step 3: Cross multiply
    412,644.72x = 619,142.10 × 225,437.52
  4. Step 4: Simplify right side
    412,644.72x = 139,577,859,551.59
  5. Step 5: Solve for x
    x = 139,577,859,551.59/412,644.72
  6. Step 6: Final answer
    x = 338,251.90

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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.