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Finding the Fourth Proportional to 542,990.20, 814,874.10 and 227,673.40

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Solution

The fourth proportional to 542,990.20, 814,874.10 and 227,673.40 is: 341,673.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,990.20 : 814,874.10 = 227,673.40 : x
  2. Step 2: Convert to fraction form
    542,990.20/814,874.10 = 227,673.40/x
  3. Step 3: Cross multiply
    542,990.20x = 814,874.10 × 227,673.40
  4. Step 4: Simplify right side
    542,990.20x = 185,525,156,918.94
  5. Step 5: Solve for x
    x = 185,525,156,918.94/542,990.20
  6. Step 6: Final answer
    x = 341,673.12

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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.