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Finding the Fourth Proportional to 418,876.17, 628,106.68 and 148,963.85

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Solution

The fourth proportional to 418,876.17, 628,106.68 and 148,963.85 is: 223,371.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,876.17 : 628,106.68 = 148,963.85 : x
  2. Step 2: Convert to fraction form
    418,876.17/628,106.68 = 148,963.85/x
  3. Step 3: Cross multiply
    418,876.17x = 628,106.68 × 148,963.85
  4. Step 4: Simplify right side
    418,876.17x = 93,565,189,263.52
  5. Step 5: Solve for x
    x = 93,565,189,263.52/418,876.17
  6. Step 6: Final answer
    x = 223,371.96

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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.