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Finding the Fourth Proportional to 542,345.10, 813,400.86 and 222,183.03

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Solution

The fourth proportional to 542,345.10, 813,400.86 and 222,183.03 is: 333,226.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,345.10 : 813,400.86 = 222,183.03 : x
  2. Step 2: Convert to fraction form
    542,345.10/813,400.86 = 222,183.03/x
  3. Step 3: Cross multiply
    542,345.10x = 813,400.86 × 222,183.03
  4. Step 4: Simplify right side
    542,345.10x = 180,723,867,679.41
  5. Step 5: Solve for x
    x = 180,723,867,679.41/542,345.10
  6. Step 6: Final answer
    x = 333,226.70

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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.