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Finding the Fourth Proportional to 381,862.56, 526,986.75 and 212,096.69

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Solution

The fourth proportional to 381,862.56, 526,986.75 and 212,096.69 is: 292,702.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,862.56 : 526,986.75 = 212,096.69 : x
  2. Step 2: Convert to fraction form
    381,862.56/526,986.75 = 212,096.69/x
  3. Step 3: Cross multiply
    381,862.56x = 526,986.75 × 212,096.69
  4. Step 4: Simplify right side
    381,862.56x = 111,772,145,348.86
  5. Step 5: Solve for x
    x = 111,772,145,348.86/381,862.56
  6. Step 6: Final answer
    x = 292,702.55

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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.