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Finding the Fourth Proportional to 542,739.40, 813,963.30 and 187,862.20

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Solution

The fourth proportional to 542,739.40, 813,963.30 and 187,862.20 is: 281,742.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,739.40 : 813,963.30 = 187,862.20 : x
  2. Step 2: Convert to fraction form
    542,739.40/813,963.30 = 187,862.20/x
  3. Step 3: Cross multiply
    542,739.40x = 813,963.30 × 187,862.20
  4. Step 4: Simplify right side
    542,739.40x = 152,912,936,257.26
  5. Step 5: Solve for x
    x = 152,912,936,257.26/542,739.40
  6. Step 6: Final answer
    x = 281,742.83

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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.