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Finding the Fourth Proportional to 378,718.78, 568,109.76 and 108,847.84

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Solution

The fourth proportional to 378,718.78, 568,109.76 and 108,847.84 is: 163,280.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,718.78 : 568,109.76 = 108,847.84 : x
  2. Step 2: Convert to fraction form
    378,718.78/568,109.76 = 108,847.84/x
  3. Step 3: Cross multiply
    378,718.78x = 568,109.76 × 108,847.84
  4. Step 4: Simplify right side
    378,718.78x = 61,837,520,258.92
  5. Step 5: Solve for x
    x = 61,837,520,258.92/378,718.78
  6. Step 6: Final answer
    x = 163,280.84

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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.