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Finding the Fourth Proportional to 267,510.20, 401,270.76 and 77,984.78

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Solution

The fourth proportional to 267,510.20, 401,270.76 and 77,984.78 is: 116,978.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,510.20 : 401,270.76 = 77,984.78 : x
  2. Step 2: Convert to fraction form
    267,510.20/401,270.76 = 77,984.78/x
  3. Step 3: Cross multiply
    267,510.20x = 401,270.76 × 77,984.78
  4. Step 4: Simplify right side
    267,510.20x = 31,293,009,932.68
  5. Step 5: Solve for x
    x = 31,293,009,932.68/267,510.20
  6. Step 6: Final answer
    x = 116,978.76

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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.