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Finding the Fourth Proportional to 468,245, 645,972.18 and 274,553.84

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Solution

The fourth proportional to 468,245, 645,972.18 and 274,553.84 is: 378,763.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,245 : 645,972.18 = 274,553.84 : x
  2. Step 2: Convert to fraction form
    468,245/645,972.18 = 274,553.84/x
  3. Step 3: Cross multiply
    468,245x = 645,972.18 × 274,553.84
  4. Step 4: Simplify right side
    468,245x = 177,354,142,552.17
  5. Step 5: Solve for x
    x = 177,354,142,552.17/468,245
  6. Step 6: Final answer
    x = 378,763.56

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1.5x scale

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.