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Finding the Fourth Proportional to 268,385.20, 402,321.80 and 99,860.40

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Solution

The fourth proportional to 268,385.20, 402,321.80 and 99,860.40 is: 149,695.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,385.20 : 402,321.80 = 99,860.40 : x
  2. Step 2: Convert to fraction form
    268,385.20/402,321.80 = 99,860.40/x
  3. Step 3: Cross multiply
    268,385.20x = 402,321.80 × 99,860.40
  4. Step 4: Simplify right side
    268,385.20x = 40,176,015,876.72
  5. Step 5: Solve for x
    x = 40,176,015,876.72/268,385.20
  6. Step 6: Final answer
    x = 149,695.35

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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.