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Finding the Fourth Proportional to 509,193.56, 702,687.33 and 279,765.65

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Solution

The fourth proportional to 509,193.56, 702,687.33 and 279,765.65 is: 386,076.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,193.56 : 702,687.33 = 279,765.65 : x
  2. Step 2: Convert to fraction form
    509,193.56/702,687.33 = 279,765.65/x
  3. Step 3: Cross multiply
    509,193.56x = 702,687.33 × 279,765.65
  4. Step 4: Simplify right side
    509,193.56x = 196,587,774,110.78
  5. Step 5: Solve for x
    x = 196,587,774,110.78/509,193.56
  6. Step 6: Final answer
    x = 386,076.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.