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Finding the Fourth Proportional to 420,565.02, 580,302.11 and 239,266.37

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Solution

The fourth proportional to 420,565.02, 580,302.11 and 239,266.37 is: 330,143.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,565.02 : 580,302.11 = 239,266.37 : x
  2. Step 2: Convert to fraction form
    420,565.02/580,302.11 = 239,266.37/x
  3. Step 3: Cross multiply
    420,565.02x = 580,302.11 × 239,266.37
  4. Step 4: Simplify right side
    420,565.02x = 138,846,775,265.20
  5. Step 5: Solve for x
    x = 138,846,775,265.20/420,565.02
  6. Step 6: Final answer
    x = 330,143.42

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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.