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Finding the Fourth Proportional to 257,940.40, 387,202.20 and 199,037.20

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Solution

The fourth proportional to 257,940.40, 387,202.20 and 199,037.20 is: 298,780.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,940.40 : 387,202.20 = 199,037.20 : x
  2. Step 2: Convert to fraction form
    257,940.40/387,202.20 = 199,037.20/x
  3. Step 3: Cross multiply
    257,940.40x = 387,202.20 × 199,037.20
  4. Step 4: Simplify right side
    257,940.40x = 77,067,641,721.84
  5. Step 5: Solve for x
    x = 77,067,641,721.84/257,940.40
  6. Step 6: Final answer
    x = 298,780.81

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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.