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Finding the Fourth Proportional to 542,378.46, 813,069.50 and 289,833.29

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Solution

The fourth proportional to 542,378.46, 813,069.50 and 289,833.29 is: 434,483.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,378.46 : 813,069.50 = 289,833.29 : x
  2. Step 2: Convert to fraction form
    542,378.46/813,069.50 = 289,833.29/x
  3. Step 3: Cross multiply
    542,378.46x = 813,069.50 × 289,833.29
  4. Step 4: Simplify right side
    542,378.46x = 235,654,605,718.15
  5. Step 5: Solve for x
    x = 235,654,605,718.15/542,378.46
  6. Step 6: Final answer
    x = 434,483.71

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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.