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Finding the Fourth Proportional to 420,564.65, 580,371.73 and 239,272.68

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Solution

The fourth proportional to 420,564.65, 580,371.73 and 239,272.68 is: 330,192.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,564.65 : 580,371.73 = 239,272.68 : x
  2. Step 2: Convert to fraction form
    420,564.65/580,371.73 = 239,272.68/x
  3. Step 3: Cross multiply
    420,564.65x = 580,371.73 × 239,272.68
  4. Step 4: Simplify right side
    420,564.65x = 138,867,098,635.16
  5. Step 5: Solve for x
    x = 138,867,098,635.16/420,564.65
  6. Step 6: Final answer
    x = 330,192.04

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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.