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Finding the Fourth Proportional to 394,071, 543,818.61 and 224,305.13

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Solution

The fourth proportional to 394,071, 543,818.61 and 224,305.13 is: 309,541.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,071 : 543,818.61 = 224,305.13 : x
  2. Step 2: Convert to fraction form
    394,071/543,818.61 = 224,305.13/x
  3. Step 3: Cross multiply
    394,071x = 543,818.61 × 224,305.13
  4. Step 4: Simplify right side
    394,071x = 121,981,301,293.38
  5. Step 5: Solve for x
    x = 121,981,301,293.38/394,071
  6. Step 6: Final answer
    x = 309,541.43

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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.