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Finding the Fourth Proportional to 542,983.70, 814,864.35 and 227,666.90

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Solution

The fourth proportional to 542,983.70, 814,864.35 and 227,666.90 is: 341,663.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,983.70 : 814,864.35 = 227,666.90 : x
  2. Step 2: Convert to fraction form
    542,983.70/814,864.35 = 227,666.90/x
  3. Step 3: Cross multiply
    542,983.70x = 814,864.35 × 227,666.90
  4. Step 4: Simplify right side
    542,983.70x = 185,517,640,485.02
  5. Step 5: Solve for x
    x = 185,517,640,485.02/542,983.70
  6. Step 6: Final answer
    x = 341,663.37

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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.