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Finding the Fourth Proportional to 392,872.92, 589,347.36 and 156,162.48

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Solution

The fourth proportional to 392,872.92, 589,347.36 and 156,162.48 is: 234,258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,872.92 : 589,347.36 = 156,162.48 : x
  2. Step 2: Convert to fraction form
    392,872.92/589,347.36 = 156,162.48/x
  3. Step 3: Cross multiply
    392,872.92x = 589,347.36 × 156,162.48
  4. Step 4: Simplify right side
    392,872.92x = 92,033,945,319.05
  5. Step 5: Solve for x
    x = 92,033,945,319.05/392,872.92
  6. Step 6: Final answer
    x = 234,258.82

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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.