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Finding the Fourth Proportional to 257,199.96, 385,910.16 and 132,628.44

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Solution

The fourth proportional to 257,199.96, 385,910.16 and 132,628.44 is: 198,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,199.96 : 385,910.16 = 132,628.44 : x
  2. Step 2: Convert to fraction form
    257,199.96/385,910.16 = 132,628.44/x
  3. Step 3: Cross multiply
    257,199.96x = 385,910.16 × 132,628.44
  4. Step 4: Simplify right side
    257,199.96x = 51,182,662,500.95
  5. Step 5: Solve for x
    x = 51,182,662,500.95/257,199.96
  6. Step 6: Final answer
    x = 198,999.50

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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.