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Finding the Fourth Proportional to 267,380.20, 401,070.30 and 109,721.80

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Solution

The fourth proportional to 267,380.20, 401,070.30 and 109,721.80 is: 164,582.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,380.20 : 401,070.30 = 109,721.80 : x
  2. Step 2: Convert to fraction form
    267,380.20/401,070.30 = 109,721.80/x
  3. Step 3: Cross multiply
    267,380.20x = 401,070.30 × 109,721.80
  4. Step 4: Simplify right side
    267,380.20x = 44,006,155,242.54
  5. Step 5: Solve for x
    x = 44,006,155,242.54/267,380.20
  6. Step 6: Final answer
    x = 164,582.70

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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.