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Finding the Fourth Proportional to 381,532.80, 526,515.84 and 211,762.56

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Solution

The fourth proportional to 381,532.80, 526,515.84 and 211,762.56 is: 292,232.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,532.80 : 526,515.84 = 211,762.56 : x
  2. Step 2: Convert to fraction form
    381,532.80/526,515.84 = 211,762.56/x
  3. Step 3: Cross multiply
    381,532.80x = 526,515.84 × 211,762.56
  4. Step 4: Simplify right side
    381,532.80x = 111,496,342,158.95
  5. Step 5: Solve for x
    x = 111,496,342,158.95/381,532.80
  6. Step 6: Final answer
    x = 292,232.65

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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.