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Finding the Fourth Proportional to 362,137.80, 542,817.90 and 137,411.40

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Solution

The fourth proportional to 362,137.80, 542,817.90 and 137,411.40 is: 205,969.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,137.80 : 542,817.90 = 137,411.40 : x
  2. Step 2: Convert to fraction form
    362,137.80/542,817.90 = 137,411.40/x
  3. Step 3: Cross multiply
    362,137.80x = 542,817.90 × 137,411.40
  4. Step 4: Simplify right side
    362,137.80x = 74,589,367,584.06
  5. Step 5: Solve for x
    x = 74,589,367,584.06/362,137.80
  6. Step 6: Final answer
    x = 205,969.57

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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.