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Finding the Fourth Proportional to 315,912.32, 473,601.92 and 147,343.84

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Solution

The fourth proportional to 315,912.32, 473,601.92 and 147,343.84 is: 220,891.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,912.32 : 473,601.92 = 147,343.84 : x
  2. Step 2: Convert to fraction form
    315,912.32/473,601.92 = 147,343.84/x
  3. Step 3: Cross multiply
    315,912.32x = 473,601.92 × 147,343.84
  4. Step 4: Simplify right side
    315,912.32x = 69,782,325,524.17
  5. Step 5: Solve for x
    x = 69,782,325,524.17/315,912.32
  6. Step 6: Final answer
    x = 220,891.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.