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Finding the Fourth Proportional to 542,757.20, 813,905.40 and 262,360.40

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Solution

The fourth proportional to 542,757.20, 813,905.40 and 262,360.40 is: 393,429.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,757.20 : 813,905.40 = 262,360.40 : x
  2. Step 2: Convert to fraction form
    542,757.20/813,905.40 = 262,360.40/x
  3. Step 3: Cross multiply
    542,757.20x = 813,905.40 × 262,360.40
  4. Step 4: Simplify right side
    542,757.20x = 213,536,546,306.16
  5. Step 5: Solve for x
    x = 213,536,546,306.16/542,757.20
  6. Step 6: Final answer
    x = 393,429.23

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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.