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Finding the Fourth Proportional to 381,361.14, 526,276.92 and 209,282.04

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Solution

The fourth proportional to 381,361.14, 526,276.92 and 209,282.04 is: 288,808.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,361.14 : 526,276.92 = 209,282.04 : x
  2. Step 2: Convert to fraction form
    381,361.14/526,276.92 = 209,282.04/x
  3. Step 3: Cross multiply
    381,361.14x = 526,276.92 × 209,282.04
  4. Step 4: Simplify right side
    381,361.14x = 110,140,307,422.52
  5. Step 5: Solve for x
    x = 110,140,307,422.52/381,361.14
  6. Step 6: Final answer
    x = 288,808.42

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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.