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Finding the Fourth Proportional to 542,748.40, 813,976.80 and 187,871.20

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Solution

The fourth proportional to 542,748.40, 813,976.80 and 187,871.20 is: 281,756.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,748.40 : 813,976.80 = 187,871.20 : x
  2. Step 2: Convert to fraction form
    542,748.40/813,976.80 = 187,871.20/x
  3. Step 3: Cross multiply
    542,748.40x = 813,976.80 × 187,871.20
  4. Step 4: Simplify right side
    542,748.40x = 152,922,798,188.16
  5. Step 5: Solve for x
    x = 152,922,798,188.16/542,748.40
  6. Step 6: Final answer
    x = 281,756.33

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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.