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Finding the Fourth Proportional to 384,226.80, 576,340.20 and 257,927.55

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Solution

The fourth proportional to 384,226.80, 576,340.20 and 257,927.55 is: 386,891.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,226.80 : 576,340.20 = 257,927.55 : x
  2. Step 2: Convert to fraction form
    384,226.80/576,340.20 = 257,927.55/x
  3. Step 3: Cross multiply
    384,226.80x = 576,340.20 × 257,927.55
  4. Step 4: Simplify right side
    384,226.80x = 148,654,015,752.51
  5. Step 5: Solve for x
    x = 148,654,015,752.51/384,226.80
  6. Step 6: Final answer
    x = 386,891.33

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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.