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Finding the Fourth Proportional to 542,200.32, 813,112.88 and 222,261.35

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Solution

The fourth proportional to 542,200.32, 813,112.88 and 222,261.35 is: 333,315.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,200.32 : 813,112.88 = 222,261.35 : x
  2. Step 2: Convert to fraction form
    542,200.32/813,112.88 = 222,261.35/x
  3. Step 3: Cross multiply
    542,200.32x = 813,112.88 × 222,261.35
  4. Step 4: Simplify right side
    542,200.32x = 180,723,561,234.32
  5. Step 5: Solve for x
    x = 180,723,561,234.32/542,200.32
  6. Step 6: Final answer
    x = 333,315.11

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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.