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Finding the Fourth Proportional to 289,187.97, 433,769.19 and 78,825.92

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Solution

The fourth proportional to 289,187.97, 433,769.19 and 78,825.92 is: 118,235.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,187.97 : 433,769.19 = 78,825.92 : x
  2. Step 2: Convert to fraction form
    289,187.97/433,769.19 = 78,825.92/x
  3. Step 3: Cross multiply
    289,187.97x = 433,769.19 × 78,825.92
  4. Step 4: Simplify right side
    289,187.97x = 34,192,253,300.56
  5. Step 5: Solve for x
    x = 34,192,253,300.56/289,187.97
  6. Step 6: Final answer
    x = 118,235.39

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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.