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Finding the Fourth Proportional to 394,568, 544,505.76 and 215,720

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Solution

The fourth proportional to 394,568, 544,505.76 and 215,720 is: 297,694.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,568 : 544,505.76 = 215,720 : x
  2. Step 2: Convert to fraction form
    394,568/544,505.76 = 215,720/x
  3. Step 3: Cross multiply
    394,568x = 544,505.76 × 215,720
  4. Step 4: Simplify right side
    394,568x = 117,460,782,547.20
  5. Step 5: Solve for x
    x = 117,460,782,547.20/394,568
  6. Step 6: Final answer
    x = 297,694.65

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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.