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Finding the Fourth Proportional to 420,049.52, 579,682.88 and 238,769.04

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Solution

The fourth proportional to 420,049.52, 579,682.88 and 238,769.04 is: 329,509.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,049.52 : 579,682.88 = 238,769.04 : x
  2. Step 2: Convert to fraction form
    420,049.52/579,682.88 = 238,769.04/x
  3. Step 3: Cross multiply
    420,049.52x = 579,682.88 × 238,769.04
  4. Step 4: Simplify right side
    420,049.52x = 138,410,324,762.04
  5. Step 5: Solve for x
    x = 138,410,324,762.04/420,049.52
  6. Step 6: Final answer
    x = 329,509.54

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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.