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Finding the Fourth Proportional to 509,638.60, 764,550.16 and 209,952.64

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Solution

The fourth proportional to 509,638.60, 764,550.16 and 209,952.64 is: 314,966.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,638.60 : 764,550.16 = 209,952.64 : x
  2. Step 2: Convert to fraction form
    509,638.60/764,550.16 = 209,952.64/x
  3. Step 3: Cross multiply
    509,638.60x = 764,550.16 × 209,952.64
  4. Step 4: Simplify right side
    509,638.60x = 160,519,324,504.42
  5. Step 5: Solve for x
    x = 160,519,324,504.42/509,638.60
  6. Step 6: Final answer
    x = 314,966.97

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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.