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Finding the Fourth Proportional to 392,416, 541,551.86 and 231,277.84

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Solution

The fourth proportional to 392,416, 541,551.86 and 231,277.84 is: 319,173.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,416 : 541,551.86 = 231,277.84 : x
  2. Step 2: Convert to fraction form
    392,416/541,551.86 = 231,277.84/x
  3. Step 3: Cross multiply
    392,416x = 541,551.86 × 231,277.84
  4. Step 4: Simplify right side
    392,416x = 125,248,944,428.78
  5. Step 5: Solve for x
    x = 125,248,944,428.78/392,416
  6. Step 6: Final answer
    x = 319,173.90

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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.