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Finding the Fourth Proportional to 289,713.22, 399,805.13 and 160,660.78

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Solution

The fourth proportional to 289,713.22, 399,805.13 and 160,660.78 is: 221,712.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,713.22 : 399,805.13 = 160,660.78 : x
  2. Step 2: Convert to fraction form
    289,713.22/399,805.13 = 160,660.78/x
  3. Step 3: Cross multiply
    289,713.22x = 399,805.13 × 160,660.78
  4. Step 4: Simplify right side
    289,713.22x = 64,233,001,231.47
  5. Step 5: Solve for x
    x = 64,233,001,231.47/289,713.22
  6. Step 6: Final answer
    x = 221,712.36

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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.