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Finding the Fourth Proportional to 542,820.80, 813,842.40 and 227,115.20

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Solution

The fourth proportional to 542,820.80, 813,842.40 and 227,115.20 is: 340,510.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,820.80 : 813,842.40 = 227,115.20 : x
  2. Step 2: Convert to fraction form
    542,820.80/813,842.40 = 227,115.20/x
  3. Step 3: Cross multiply
    542,820.80x = 813,842.40 × 227,115.20
  4. Step 4: Simplify right side
    542,820.80x = 184,835,979,444.48
  5. Step 5: Solve for x
    x = 184,835,979,444.48/542,820.80
  6. Step 6: Final answer
    x = 340,510.13

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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.