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Finding the Fourth Proportional to 259,727.20, 389,590.80 and 213,032.80

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Solution

The fourth proportional to 259,727.20, 389,590.80 and 213,032.80 is: 319,549.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,727.20 : 389,590.80 = 213,032.80 : x
  2. Step 2: Convert to fraction form
    259,727.20/389,590.80 = 213,032.80/x
  3. Step 3: Cross multiply
    259,727.20x = 389,590.80 × 213,032.80
  4. Step 4: Simplify right side
    259,727.20x = 82,995,618,978.24
  5. Step 5: Solve for x
    x = 82,995,618,978.24/259,727.20
  6. Step 6: Final answer
    x = 319,549.20

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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.