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Finding the Fourth Proportional to 392,826, 542,074.35 and 231,644.10

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Solution

The fourth proportional to 392,826, 542,074.35 and 231,644.10 is: 319,653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,826 : 542,074.35 = 231,644.10 : x
  2. Step 2: Convert to fraction form
    392,826/542,074.35 = 231,644.10/x
  3. Step 3: Cross multiply
    392,826x = 542,074.35 × 231,644.10
  4. Step 4: Simplify right side
    392,826x = 125,568,324,938.84
  5. Step 5: Solve for x
    x = 125,568,324,938.84/392,826
  6. Step 6: Final answer
    x = 319,653.80

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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.