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Finding the Fourth Proportional to 382,394.16, 527,707.32 and 212,635.44

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Solution

The fourth proportional to 382,394.16, 527,707.32 and 212,635.44 is: 293,438.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,394.16 : 527,707.32 = 212,635.44 : x
  2. Step 2: Convert to fraction form
    382,394.16/527,707.32 = 212,635.44/x
  3. Step 3: Cross multiply
    382,394.16x = 527,707.32 × 212,635.44
  4. Step 4: Simplify right side
    382,394.16x = 112,209,278,179.42
  5. Step 5: Solve for x
    x = 112,209,278,179.42/382,394.16
  6. Step 6: Final answer
    x = 293,438.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.