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Finding the Fourth Proportional to 381,394, 526,323.72 and 211,655.44

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Solution

The fourth proportional to 381,394, 526,323.72 and 211,655.44 is: 292,084.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,394 : 526,323.72 = 211,655.44 : x
  2. Step 2: Convert to fraction form
    381,394/526,323.72 = 211,655.44/x
  3. Step 3: Cross multiply
    381,394x = 526,323.72 × 211,655.44
  4. Step 4: Simplify right side
    381,394x = 111,399,278,539.04
  5. Step 5: Solve for x
    x = 111,399,278,539.04/381,394
  6. Step 6: Final answer
    x = 292,084.51

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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.