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Finding the Fourth Proportional to 542,500.28, 813,639.18 and 205,424.68

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Solution

The fourth proportional to 542,500.28, 813,639.18 and 205,424.68 is: 308,094.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,500.28 : 813,639.18 = 205,424.68 : x
  2. Step 2: Convert to fraction form
    542,500.28/813,639.18 = 205,424.68/x
  3. Step 3: Cross multiply
    542,500.28x = 813,639.18 × 205,424.68
  4. Step 4: Simplify right side
    542,500.28x = 167,141,568,186.96
  5. Step 5: Solve for x
    x = 167,141,568,186.96/542,500.28
  6. Step 6: Final answer
    x = 308,094.90

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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.