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Finding the Fourth Proportional to 261,390.44, 391,454.12 and 148,729.40

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Solution

The fourth proportional to 261,390.44, 391,454.12 and 148,729.40 is: 222,734.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,390.44 : 391,454.12 = 148,729.40 : x
  2. Step 2: Convert to fraction form
    261,390.44/391,454.12 = 148,729.40/x
  3. Step 3: Cross multiply
    261,390.44x = 391,454.12 × 148,729.40
  4. Step 4: Simplify right side
    261,390.44x = 58,220,736,395.13
  5. Step 5: Solve for x
    x = 58,220,736,395.13/261,390.44
  6. Step 6: Final answer
    x = 222,734.76

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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.