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Finding the Fourth Proportional to 203,282.65, 280,797.60 and 156,118.78

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Solution

The fourth proportional to 203,282.65, 280,797.60 and 156,118.78 is: 215,649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,282.65 : 280,797.60 = 156,118.78 : x
  2. Step 2: Convert to fraction form
    203,282.65/280,797.60 = 156,118.78/x
  3. Step 3: Cross multiply
    203,282.65x = 280,797.60 × 156,118.78
  4. Step 4: Simplify right side
    203,282.65x = 43,837,778,738.93
  5. Step 5: Solve for x
    x = 43,837,778,738.93/203,282.65
  6. Step 6: Final answer
    x = 215,649.39

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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.