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Finding the Fourth Proportional to 420,298.68, 580,226.22 and 324,590.52

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Solution

The fourth proportional to 420,298.68, 580,226.22 and 324,590.52 is: 448,100.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,298.68 : 580,226.22 = 324,590.52 : x
  2. Step 2: Convert to fraction form
    420,298.68/580,226.22 = 324,590.52/x
  3. Step 3: Cross multiply
    420,298.68x = 580,226.22 × 324,590.52
  4. Step 4: Simplify right side
    420,298.68x = 188,335,930,467.43
  5. Step 5: Solve for x
    x = 188,335,930,467.43/420,298.68
  6. Step 6: Final answer
    x = 448,100.22

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1.5x scale

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.