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Finding the Fourth Proportional to 232,868.16, 321,338.88 and 137,378.88

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Solution

The fourth proportional to 232,868.16, 321,338.88 and 137,378.88 is: 189,571.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,868.16 : 321,338.88 = 137,378.88 : x
  2. Step 2: Convert to fraction form
    232,868.16/321,338.88 = 137,378.88/x
  3. Step 3: Cross multiply
    232,868.16x = 321,338.88 × 137,378.88
  4. Step 4: Simplify right side
    232,868.16x = 44,145,175,434.85
  5. Step 5: Solve for x
    x = 44,145,175,434.85/232,868.16
  6. Step 6: Final answer
    x = 189,571.54

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1.5x scale

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.