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Finding the Fourth Proportional to 398,214.72, 545,227.92 and 396,815.04

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Solution

The fourth proportional to 398,214.72, 545,227.92 and 396,815.04 is: 543,311.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,214.72 : 545,227.92 = 396,815.04 : x
  2. Step 2: Convert to fraction form
    398,214.72/545,227.92 = 396,815.04/x
  3. Step 3: Cross multiply
    398,214.72x = 545,227.92 × 396,815.04
  4. Step 4: Simplify right side
    398,214.72x = 216,354,638,883.92
  5. Step 5: Solve for x
    x = 216,354,638,883.92/398,214.72
  6. Step 6: Final answer
    x = 543,311.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.