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Finding the Fourth Proportional to 220,708, 331,127.28 and 127,280.80

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Solution

The fourth proportional to 220,708, 331,127.28 and 127,280.80 is: 190,958.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,708 : 331,127.28 = 127,280.80 : x
  2. Step 2: Convert to fraction form
    220,708/331,127.28 = 127,280.80/x
  3. Step 3: Cross multiply
    220,708x = 331,127.28 × 127,280.80
  4. Step 4: Simplify right side
    220,708x = 42,146,145,100.22
  5. Step 5: Solve for x
    x = 42,146,145,100.22/220,708
  6. Step 6: Final answer
    x = 190,958.85

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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.