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Finding the Fourth Proportional to 420,892.65, 580,687.79 and 239,559.21

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Solution

The fourth proportional to 420,892.65, 580,687.79 and 239,559.21 is: 330,509.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,892.65 : 580,687.79 = 239,559.21 : x
  2. Step 2: Convert to fraction form
    420,892.65/580,687.79 = 239,559.21/x
  3. Step 3: Cross multiply
    420,892.65x = 580,687.79 × 239,559.21
  4. Step 4: Simplify right side
    420,892.65x = 139,109,107,031.25
  5. Step 5: Solve for x
    x = 139,109,107,031.25/420,892.65
  6. Step 6: Final answer
    x = 330,509.71

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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.