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Finding the Fourth Proportional to 509,586.38, 764,471.51 and 209,903.39

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Solution

The fourth proportional to 509,586.38, 764,471.51 and 209,903.39 is: 314,892.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,586.38 : 764,471.51 = 209,903.39 : x
  2. Step 2: Convert to fraction form
    509,586.38/764,471.51 = 209,903.39/x
  3. Step 3: Cross multiply
    509,586.38x = 764,471.51 × 209,903.39
  4. Step 4: Simplify right side
    509,586.38x = 160,465,161,507.42
  5. Step 5: Solve for x
    x = 160,465,161,507.42/509,586.38
  6. Step 6: Final answer
    x = 314,892.96

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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.