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Finding the Fourth Proportional to 257,632.80, 386,449.20 and 222,203.40

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Solution

The fourth proportional to 257,632.80, 386,449.20 and 222,203.40 is: 333,305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,632.80 : 386,449.20 = 222,203.40 : x
  2. Step 2: Convert to fraction form
    257,632.80/386,449.20 = 222,203.40/x
  3. Step 3: Cross multiply
    257,632.80x = 386,449.20 × 222,203.40
  4. Step 4: Simplify right side
    257,632.80x = 85,870,326,167.28
  5. Step 5: Solve for x
    x = 85,870,326,167.28/257,632.80
  6. Step 6: Final answer
    x = 333,305.10

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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.