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Finding the Fourth Proportional to 417,961.76, 576,879 and 274,735.04

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Solution

The fourth proportional to 417,961.76, 576,879 and 274,735.04 is: 379,194.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,961.76 : 576,879 = 274,735.04 : x
  2. Step 2: Convert to fraction form
    417,961.76/576,879 = 274,735.04/x
  3. Step 3: Cross multiply
    417,961.76x = 576,879 × 274,735.04
  4. Step 4: Simplify right side
    417,961.76x = 158,488,875,140.16
  5. Step 5: Solve for x
    x = 158,488,875,140.16/417,961.76
  6. Step 6: Final answer
    x = 379,194.68

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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.