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Finding the Fourth Proportional to 542,862.80, 813,905.40 and 227,157.20

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Solution

The fourth proportional to 542,862.80, 813,905.40 and 227,157.20 is: 340,573.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,862.80 : 813,905.40 = 227,157.20 : x
  2. Step 2: Convert to fraction form
    542,862.80/813,905.40 = 227,157.20/x
  3. Step 3: Cross multiply
    542,862.80x = 813,905.40 × 227,157.20
  4. Step 4: Simplify right side
    542,862.80x = 184,884,471,728.88
  5. Step 5: Solve for x
    x = 184,884,471,728.88/542,862.80
  6. Step 6: Final answer
    x = 340,573.11

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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.