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Finding the Fourth Proportional to 542,275.65, 813,416.36 and 163,193.78

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Solution

The fourth proportional to 542,275.65, 813,416.36 and 163,193.78 is: 244,791.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,275.65 : 813,416.36 = 163,193.78 : x
  2. Step 2: Convert to fraction form
    542,275.65/813,416.36 = 163,193.78/x
  3. Step 3: Cross multiply
    542,275.65x = 813,416.36 × 163,193.78
  4. Step 4: Simplify right side
    542,275.65x = 132,744,491,719.81
  5. Step 5: Solve for x
    x = 132,744,491,719.81/542,275.65
  6. Step 6: Final answer
    x = 244,791.54

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1.5x scale

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.