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Finding the Fourth Proportional to 719,879.28, 993,414.40 and 397,582.48

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Solution

The fourth proportional to 719,879.28, 993,414.40 and 397,582.48 is: 548,653.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,879.28 : 993,414.40 = 397,582.48 : x
  2. Step 2: Convert to fraction form
    719,879.28/993,414.40 = 397,582.48/x
  3. Step 3: Cross multiply
    719,879.28x = 993,414.40 × 397,582.48
  4. Step 4: Simplify right side
    719,879.28x = 394,964,160,819.71
  5. Step 5: Solve for x
    x = 394,964,160,819.71/719,879.28
  6. Step 6: Final answer
    x = 548,653.33

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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.