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Finding the Fourth Proportional to 267,689.40, 401,470.10 and 155,126.20

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Solution

The fourth proportional to 267,689.40, 401,470.10 and 155,126.20 is: 232,652.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,689.40 : 401,470.10 = 155,126.20 : x
  2. Step 2: Convert to fraction form
    267,689.40/401,470.10 = 155,126.20/x
  3. Step 3: Cross multiply
    267,689.40x = 401,470.10 × 155,126.20
  4. Step 4: Simplify right side
    267,689.40x = 62,278,531,026.62
  5. Step 5: Solve for x
    x = 62,278,531,026.62/267,689.40
  6. Step 6: Final answer
    x = 232,652.21

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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.