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Finding the Fourth Proportional to 207,588.40, 311,382.60 and 132,938.80

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Solution

The fourth proportional to 207,588.40, 311,382.60 and 132,938.80 is: 199,408.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,588.40 : 311,382.60 = 132,938.80 : x
  2. Step 2: Convert to fraction form
    207,588.40/311,382.60 = 132,938.80/x
  3. Step 3: Cross multiply
    207,588.40x = 311,382.60 × 132,938.80
  4. Step 4: Simplify right side
    207,588.40x = 41,394,829,184.88
  5. Step 5: Solve for x
    x = 41,394,829,184.88/207,588.40
  6. Step 6: Final answer
    x = 199,408.20

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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.