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Finding the Fourth Proportional to 267,971.75, 401,432.10 and 155,415.56

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Solution

The fourth proportional to 267,971.75, 401,432.10 and 155,415.56 is: 232,818.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,971.75 : 401,432.10 = 155,415.56 : x
  2. Step 2: Convert to fraction form
    267,971.75/401,432.10 = 155,415.56/x
  3. Step 3: Cross multiply
    267,971.75x = 401,432.10 × 155,415.56
  4. Step 4: Simplify right side
    267,971.75x = 62,388,792,616.32
  5. Step 5: Solve for x
    x = 62,388,792,616.32/267,971.75
  6. Step 6: Final answer
    x = 232,818.55

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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.