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Finding the Fourth Proportional to 228,287.44, 315,019.56 and 127,666

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Solution

The fourth proportional to 228,287.44, 315,019.56 and 127,666 is: 176,169.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,287.44 : 315,019.56 = 127,666 : x
  2. Step 2: Convert to fraction form
    228,287.44/315,019.56 = 127,666/x
  3. Step 3: Cross multiply
    228,287.44x = 315,019.56 × 127,666
  4. Step 4: Simplify right side
    228,287.44x = 40,217,287,146.96
  5. Step 5: Solve for x
    x = 40,217,287,146.96/228,287.44
  6. Step 6: Final answer
    x = 176,169.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.