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Finding the Fourth Proportional to 392,378.48, 541,500.12 and 231,240.32

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Solution

The fourth proportional to 392,378.48, 541,500.12 and 231,240.32 is: 319,122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,378.48 : 541,500.12 = 231,240.32 : x
  2. Step 2: Convert to fraction form
    392,378.48/541,500.12 = 231,240.32/x
  3. Step 3: Cross multiply
    392,378.48x = 541,500.12 × 231,240.32
  4. Step 4: Simplify right side
    392,378.48x = 125,216,661,028.84
  5. Step 5: Solve for x
    x = 125,216,661,028.84/392,378.48
  6. Step 6: Final answer
    x = 319,122.14

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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.