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Finding the Fourth Proportional to 215,937.60, 323,765.60 and 193,819.20

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Solution

The fourth proportional to 215,937.60, 323,765.60 and 193,819.20 is: 290,602.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,937.60 : 323,765.60 = 193,819.20 : x
  2. Step 2: Convert to fraction form
    215,937.60/323,765.60 = 193,819.20/x
  3. Step 3: Cross multiply
    215,937.60x = 323,765.60 × 193,819.20
  4. Step 4: Simplify right side
    215,937.60x = 62,751,989,579.52
  5. Step 5: Solve for x
    x = 62,751,989,579.52/215,937.60
  6. Step 6: Final answer
    x = 290,602.42

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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.