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Finding the Fourth Proportional to 228,439.86, 315,257.31 and 127,837.86

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Solution

The fourth proportional to 228,439.86, 315,257.31 and 127,837.86 is: 176,422.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,439.86 : 315,257.31 = 127,837.86 : x
  2. Step 2: Convert to fraction form
    228,439.86/315,257.31 = 127,837.86/x
  3. Step 3: Cross multiply
    228,439.86x = 315,257.31 × 127,837.86
  4. Step 4: Simplify right side
    228,439.86x = 40,301,819,859.76
  5. Step 5: Solve for x
    x = 40,301,819,859.76/228,439.86
  6. Step 6: Final answer
    x = 176,422.01

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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.