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Finding the Fourth Proportional to 289,363.52, 434,710.50 and 204,170.46

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Solution

The fourth proportional to 289,363.52, 434,710.50 and 204,170.46 is: 306,725.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,363.52 : 434,710.50 = 204,170.46 : x
  2. Step 2: Convert to fraction form
    289,363.52/434,710.50 = 204,170.46/x
  3. Step 3: Cross multiply
    289,363.52x = 434,710.50 × 204,170.46
  4. Step 4: Simplify right side
    289,363.52x = 88,755,040,356.03
  5. Step 5: Solve for x
    x = 88,755,040,356.03/289,363.52
  6. Step 6: Final answer
    x = 306,725.05

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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.