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Finding the Fourth Proportional to 230,337.46, 317,866 and 128,360.69

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Solution

The fourth proportional to 230,337.46, 317,866 and 128,360.69 is: 177,137.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,337.46 : 317,866 = 128,360.69 : x
  2. Step 2: Convert to fraction form
    230,337.46/317,866 = 128,360.69/x
  3. Step 3: Cross multiply
    230,337.46x = 317,866 × 128,360.69
  4. Step 4: Simplify right side
    230,337.46x = 40,801,499,087.54
  5. Step 5: Solve for x
    x = 40,801,499,087.54/230,337.46
  6. Step 6: Final answer
    x = 177,137.92

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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.