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Finding the Fourth Proportional to 394,242.80, 591,467.88 and 204,715.76

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Solution

The fourth proportional to 394,242.80, 591,467.88 and 204,715.76 is: 307,127.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,242.80 : 591,467.88 = 204,715.76 : x
  2. Step 2: Convert to fraction form
    394,242.80/591,467.88 = 204,715.76/x
  3. Step 3: Cross multiply
    394,242.80x = 591,467.88 × 204,715.76
  4. Step 4: Simplify right side
    394,242.80x = 121,082,796,569.79
  5. Step 5: Solve for x
    x = 121,082,796,569.79/394,242.80
  6. Step 6: Final answer
    x = 307,127.48

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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.