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Finding the Fourth Proportional to 420,882.90, 580,674.33 and 239,549.42

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Solution

The fourth proportional to 420,882.90, 580,674.33 and 239,549.42 is: 330,496.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,882.90 : 580,674.33 = 239,549.42 : x
  2. Step 2: Convert to fraction form
    420,882.90/580,674.33 = 239,549.42/x
  3. Step 3: Cross multiply
    420,882.90x = 580,674.33 × 239,549.42
  4. Step 4: Simplify right side
    420,882.90x = 139,100,196,057.02
  5. Step 5: Solve for x
    x = 139,100,196,057.02/420,882.90
  6. Step 6: Final answer
    x = 330,496.19

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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.