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Finding the Fourth Proportional to 228,309.44, 315,049.92 and 127,688

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Solution

The fourth proportional to 228,309.44, 315,049.92 and 127,688 is: 176,199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,309.44 : 315,049.92 = 127,688 : x
  2. Step 2: Convert to fraction form
    228,309.44/315,049.92 = 127,688/x
  3. Step 3: Cross multiply
    228,309.44x = 315,049.92 × 127,688
  4. Step 4: Simplify right side
    228,309.44x = 40,228,094,184.96
  5. Step 5: Solve for x
    x = 40,228,094,184.96/228,309.44
  6. Step 6: Final answer
    x = 176,199.87

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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.