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Finding the Fourth Proportional to 542,947.99, 813,938.03 and 206,225.10

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Solution

The fourth proportional to 542,947.99, 813,938.03 and 206,225.10 is: 309,153.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,947.99 : 813,938.03 = 206,225.10 : x
  2. Step 2: Convert to fraction form
    542,947.99/813,938.03 = 206,225.10/x
  3. Step 3: Cross multiply
    542,947.99x = 813,938.03 × 206,225.10
  4. Step 4: Simplify right side
    542,947.99x = 167,854,450,599.43
  5. Step 5: Solve for x
    x = 167,854,450,599.43/542,947.99
  6. Step 6: Final answer
    x = 309,153.83

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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.