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Finding the Fourth Proportional to 228,444.86, 315,264.22 and 127,842.86

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Solution

The fourth proportional to 228,444.86, 315,264.22 and 127,842.86 is: 176,428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,444.86 : 315,264.22 = 127,842.86 : x
  2. Step 2: Convert to fraction form
    228,444.86/315,264.22 = 127,842.86/x
  3. Step 3: Cross multiply
    228,444.86x = 315,264.22 × 127,842.86
  4. Step 4: Simplify right side
    228,444.86x = 40,304,279,540.47
  5. Step 5: Solve for x
    x = 40,304,279,540.47/228,444.86
  6. Step 6: Final answer
    x = 176,428.92

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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.