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Finding the Fourth Proportional to 361,115.20, 541,672.80 and 256,139.20

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Solution

The fourth proportional to 361,115.20, 541,672.80 and 256,139.20 is: 384,208.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,115.20 : 541,672.80 = 256,139.20 : x
  2. Step 2: Convert to fraction form
    361,115.20/541,672.80 = 256,139.20/x
  3. Step 3: Cross multiply
    361,115.20x = 541,672.80 × 256,139.20
  4. Step 4: Simplify right side
    361,115.20x = 138,743,637,653.76
  5. Step 5: Solve for x
    x = 138,743,637,653.76/361,115.20
  6. Step 6: Final answer
    x = 384,208.80

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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.