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Finding the Fourth Proportional to 257,067.20, 385,600.80 and 182,271.80

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Solution

The fourth proportional to 257,067.20, 385,600.80 and 182,271.80 is: 273,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,067.20 : 385,600.80 = 182,271.80 : x
  2. Step 2: Convert to fraction form
    257,067.20/385,600.80 = 182,271.80/x
  3. Step 3: Cross multiply
    257,067.20x = 385,600.80 × 182,271.80
  4. Step 4: Simplify right side
    257,067.20x = 70,284,151,897.44
  5. Step 5: Solve for x
    x = 70,284,151,897.44/257,067.20
  6. Step 6: Final answer
    x = 273,407.70

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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.