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Finding the Fourth Proportional to 384,226.73, 530,241.23 and 212,144.12

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Solution

The fourth proportional to 384,226.73, 530,241.23 and 212,144.12 is: 292,763.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,226.73 : 530,241.23 = 212,144.12 : x
  2. Step 2: Convert to fraction form
    384,226.73/530,241.23 = 212,144.12/x
  3. Step 3: Cross multiply
    384,226.73x = 530,241.23 × 212,144.12
  4. Step 4: Simplify right side
    384,226.73x = 112,487,555,414.14
  5. Step 5: Solve for x
    x = 112,487,555,414.14/384,226.73
  6. Step 6: Final answer
    x = 292,763.49

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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.