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Finding the Fourth Proportional to 394,063.92, 543,808.80 and 224,298

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Solution

The fourth proportional to 394,063.92, 543,808.80 and 224,298 is: 309,531.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,063.92 : 543,808.80 = 224,298 : x
  2. Step 2: Convert to fraction form
    394,063.92/543,808.80 = 224,298/x
  3. Step 3: Cross multiply
    394,063.92x = 543,808.80 × 224,298
  4. Step 4: Simplify right side
    394,063.92x = 121,975,226,222.40
  5. Step 5: Solve for x
    x = 121,975,226,222.40/394,063.92
  6. Step 6: Final answer
    x = 309,531.58

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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.