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Finding the Fourth Proportional to 878,184, 1,317,279.24 and 213,336

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Solution

The fourth proportional to 878,184, 1,317,279.24 and 213,336 is: 320,004.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,184 : 1,317,279.24 = 213,336 : x
  2. Step 2: Convert to fraction form
    878,184/1,317,279.24 = 213,336/x
  3. Step 3: Cross multiply
    878,184x = 1,317,279.24 × 213,336
  4. Step 4: Simplify right side
    878,184x = 281,023,083,944.64
  5. Step 5: Solve for x
    x = 281,023,083,944.64/878,184
  6. Step 6: Final answer
    x = 320,004.79

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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.