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Finding the Fourth Proportional to 509,371.31, 764,082.34 and 193,852.67

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Solution

The fourth proportional to 509,371.31, 764,082.34 and 193,852.67 is: 290,788.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,371.31 : 764,082.34 = 193,852.67 : x
  2. Step 2: Convert to fraction form
    509,371.31/764,082.34 = 193,852.67/x
  3. Step 3: Cross multiply
    509,371.31x = 764,082.34 × 193,852.67
  4. Step 4: Simplify right side
    509,371.31x = 148,119,397,403.80
  5. Step 5: Solve for x
    x = 148,119,397,403.80/509,371.31
  6. Step 6: Final answer
    x = 290,788.66

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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.