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Finding the Fourth Proportional to 267,711.57, 401,438.16 and 155,420.06

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Solution

The fourth proportional to 267,711.57, 401,438.16 and 155,420.06 is: 233,055.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,711.57 : 401,438.16 = 155,420.06 : x
  2. Step 2: Convert to fraction form
    267,711.57/401,438.16 = 155,420.06/x
  3. Step 3: Cross multiply
    267,711.57x = 401,438.16 × 155,420.06
  4. Step 4: Simplify right side
    267,711.57x = 62,391,540,906.30
  5. Step 5: Solve for x
    x = 62,391,540,906.30/267,711.57
  6. Step 6: Final answer
    x = 233,055.08

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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.