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Finding the Fourth Proportional to 289,780.59, 399,859.13 and 160,717.52

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Solution

The fourth proportional to 289,780.59, 399,859.13 and 160,717.52 is: 221,769.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,780.59 : 399,859.13 = 160,717.52 : x
  2. Step 2: Convert to fraction form
    289,780.59/399,859.13 = 160,717.52/x
  3. Step 3: Cross multiply
    289,780.59x = 399,859.13 × 160,717.52
  4. Step 4: Simplify right side
    289,780.59x = 64,264,367,722.96
  5. Step 5: Solve for x
    x = 64,264,367,722.96/289,780.59
  6. Step 6: Final answer
    x = 221,769.06

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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.