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Finding the Fourth Proportional to 378,581.97, 522,443.49 and 217,468.17

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Solution

The fourth proportional to 378,581.97, 522,443.49 and 217,468.17 is: 300,106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,581.97 : 522,443.49 = 217,468.17 : x
  2. Step 2: Convert to fraction form
    378,581.97/522,443.49 = 217,468.17/x
  3. Step 3: Cross multiply
    378,581.97x = 522,443.49 × 217,468.17
  4. Step 4: Simplify right side
    378,581.97x = 113,614,829,698.71
  5. Step 5: Solve for x
    x = 113,614,829,698.71/378,581.97
  6. Step 6: Final answer
    x = 300,106.29

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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.