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Finding the Fourth Proportional to 267,729.78, 401,465.36 and 155,438.30

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Solution

The fourth proportional to 267,729.78, 401,465.36 and 155,438.30 is: 233,082.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,729.78 : 401,465.36 = 155,438.30 : x
  2. Step 2: Convert to fraction form
    267,729.78/401,465.36 = 155,438.30/x
  3. Step 3: Cross multiply
    267,729.78x = 401,465.36 × 155,438.30
  4. Step 4: Simplify right side
    267,729.78x = 62,403,093,067.29
  5. Step 5: Solve for x
    x = 62,403,093,067.29/267,729.78
  6. Step 6: Final answer
    x = 233,082.38

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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.