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Finding the Fourth Proportional to 542,977.20, 814,854.60 and 227,660.40

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Solution

The fourth proportional to 542,977.20, 814,854.60 and 227,660.40 is: 341,653.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,977.20 : 814,854.60 = 227,660.40 : x
  2. Step 2: Convert to fraction form
    542,977.20/814,854.60 = 227,660.40/x
  3. Step 3: Cross multiply
    542,977.20x = 814,854.60 × 227,660.40
  4. Step 4: Simplify right side
    542,977.20x = 185,510,124,177.84
  5. Step 5: Solve for x
    x = 185,510,124,177.84/542,977.20
  6. Step 6: Final answer
    x = 341,653.62

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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.