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Finding the Fourth Proportional to 402,409, 555,324.42 and 223,561

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Solution

The fourth proportional to 402,409, 555,324.42 and 223,561 is: 308,514.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,409 : 555,324.42 = 223,561 : x
  2. Step 2: Convert to fraction form
    402,409/555,324.42 = 223,561/x
  3. Step 3: Cross multiply
    402,409x = 555,324.42 × 223,561
  4. Step 4: Simplify right side
    402,409x = 124,148,882,659.62
  5. Step 5: Solve for x
    x = 124,148,882,659.62/402,409
  6. Step 6: Final answer
    x = 308,514.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.