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Finding the Fourth Proportional to 516,838.92, 774,468.90 and 217,155.66

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Solution

The fourth proportional to 516,838.92, 774,468.90 and 217,155.66 is: 325,401.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,838.92 : 774,468.90 = 217,155.66 : x
  2. Step 2: Convert to fraction form
    516,838.92/774,468.90 = 217,155.66/x
  3. Step 3: Cross multiply
    516,838.92x = 774,468.90 × 217,155.66
  4. Step 4: Simplify right side
    516,838.92x = 168,180,305,128.97
  5. Step 5: Solve for x
    x = 168,180,305,128.97/516,838.92
  6. Step 6: Final answer
    x = 325,401.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.