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Finding the Fourth Proportional to 393,959.04, 543,600.16 and 224,196

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Solution

The fourth proportional to 393,959.04, 543,600.16 and 224,196 is: 309,354.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,959.04 : 543,600.16 = 224,196 : x
  2. Step 2: Convert to fraction form
    393,959.04/543,600.16 = 224,196/x
  3. Step 3: Cross multiply
    393,959.04x = 543,600.16 × 224,196
  4. Step 4: Simplify right side
    393,959.04x = 121,872,981,471.36
  5. Step 5: Solve for x
    x = 121,872,981,471.36/393,959.04
  6. Step 6: Final answer
    x = 309,354.45

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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.