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Finding the Fourth Proportional to 542,415.40, 813,752.70 and 261,701.80

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Solution

The fourth proportional to 542,415.40, 813,752.70 and 261,701.80 is: 392,615.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,415.40 : 813,752.70 = 261,701.80 : x
  2. Step 2: Convert to fraction form
    542,415.40/813,752.70 = 261,701.80/x
  3. Step 3: Cross multiply
    542,415.40x = 813,752.70 × 261,701.80
  4. Step 4: Simplify right side
    542,415.40x = 212,960,546,344.86
  5. Step 5: Solve for x
    x = 212,960,546,344.86/542,415.40
  6. Step 6: Final answer
    x = 392,615.23

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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.