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Finding the Fourth Proportional to 228,288.48, 315,038.88 and 127,680

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Solution

The fourth proportional to 228,288.48, 315,038.88 and 127,680 is: 176,198.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,288.48 : 315,038.88 = 127,680 : x
  2. Step 2: Convert to fraction form
    228,288.48/315,038.88 = 127,680/x
  3. Step 3: Cross multiply
    228,288.48x = 315,038.88 × 127,680
  4. Step 4: Simplify right side
    228,288.48x = 40,224,164,198.40
  5. Step 5: Solve for x
    x = 40,224,164,198.40/228,288.48
  6. Step 6: Final answer
    x = 176,198.83

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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.