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Finding the Fourth Proportional to 267,270.42, 400,825.82 and 145,672

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Solution

The fourth proportional to 267,270.42, 400,825.82 and 145,672 is: 218,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,270.42 : 400,825.82 = 145,672 : x
  2. Step 2: Convert to fraction form
    267,270.42/400,825.82 = 145,672/x
  3. Step 3: Cross multiply
    267,270.42x = 400,825.82 × 145,672
  4. Step 4: Simplify right side
    267,270.42x = 58,389,098,851.04
  5. Step 5: Solve for x
    x = 58,389,098,851.04/267,270.42
  6. Step 6: Final answer
    x = 218,464.50

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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.