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Finding the Fourth Proportional to 289,851.89, 399,793.19 and 280,097.87

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Solution

The fourth proportional to 289,851.89, 399,793.19 and 280,097.87 is: 386,339.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,851.89 : 399,793.19 = 280,097.87 : x
  2. Step 2: Convert to fraction form
    289,851.89/399,793.19 = 280,097.87/x
  3. Step 3: Cross multiply
    289,851.89x = 399,793.19 × 280,097.87
  4. Step 4: Simplify right side
    289,851.89x = 111,981,217,560.05
  5. Step 5: Solve for x
    x = 111,981,217,560.05/289,851.89
  6. Step 6: Final answer
    x = 386,339.45

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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.