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Finding the Fourth Proportional to 261,411.03, 360,747.41 and 148,233.78

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Solution

The fourth proportional to 261,411.03, 360,747.41 and 148,233.78 is: 204,562.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,411.03 : 360,747.41 = 148,233.78 : x
  2. Step 2: Convert to fraction form
    261,411.03/360,747.41 = 148,233.78/x
  3. Step 3: Cross multiply
    261,411.03x = 360,747.41 × 148,233.78
  4. Step 4: Simplify right side
    261,411.03x = 53,474,951,468.34
  5. Step 5: Solve for x
    x = 53,474,951,468.34/261,411.03
  6. Step 6: Final answer
    x = 204,562.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.