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Finding the Fourth Proportional to 542,361.40, 813,671.70 and 261,647.80

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Solution

The fourth proportional to 542,361.40, 813,671.70 and 261,647.80 is: 392,534.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,361.40 : 813,671.70 = 261,647.80 : x
  2. Step 2: Convert to fraction form
    542,361.40/813,671.70 = 261,647.80/x
  3. Step 3: Cross multiply
    542,361.40x = 813,671.70 × 261,647.80
  4. Step 4: Simplify right side
    542,361.40x = 212,895,410,227.26
  5. Step 5: Solve for x
    x = 212,895,410,227.26/542,361.40
  6. Step 6: Final answer
    x = 392,534.22

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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.