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Finding the Fourth Proportional to 381,286.74, 526,157.88 and 209,200.83

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Solution

The fourth proportional to 381,286.74, 526,157.88 and 209,200.83 is: 288,687.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,286.74 : 526,157.88 = 209,200.83 : x
  2. Step 2: Convert to fraction form
    381,286.74/526,157.88 = 209,200.83/x
  3. Step 3: Cross multiply
    381,286.74x = 526,157.88 × 209,200.83
  4. Step 4: Simplify right side
    381,286.74x = 110,072,662,449.45
  5. Step 5: Solve for x
    x = 110,072,662,449.45/381,286.74
  6. Step 6: Final answer
    x = 288,687.36

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1.5x scale

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.