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Finding the Fourth Proportional to 509,757.60, 764,612.10 and 172,765.20

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Solution

The fourth proportional to 509,757.60, 764,612.10 and 172,765.20 is: 259,139.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,757.60 : 764,612.10 = 172,765.20 : x
  2. Step 2: Convert to fraction form
    509,757.60/764,612.10 = 172,765.20/x
  3. Step 3: Cross multiply
    509,757.60x = 764,612.10 × 172,765.20
  4. Step 4: Simplify right side
    509,757.60x = 132,098,362,378.92
  5. Step 5: Solve for x
    x = 132,098,362,378.92/509,757.60
  6. Step 6: Final answer
    x = 259,139.56

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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.