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Finding the Fourth Proportional to 420,727.80, 580,607.52 and 239,453.52

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Solution

The fourth proportional to 420,727.80, 580,607.52 and 239,453.52 is: 330,447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,727.80 : 580,607.52 = 239,453.52 : x
  2. Step 2: Convert to fraction form
    420,727.80/580,607.52 = 239,453.52/x
  3. Step 3: Cross multiply
    420,727.80x = 580,607.52 × 239,453.52
  4. Step 4: Simplify right side
    420,727.80x = 139,028,514,402.47
  5. Step 5: Solve for x
    x = 139,028,514,402.47/420,727.80
  6. Step 6: Final answer
    x = 330,447.65

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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.