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Finding the Fourth Proportional to 288,080.82, 397,571.49 and 160,781.22

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Solution

The fourth proportional to 288,080.82, 397,571.49 and 160,781.22 is: 221,889.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,080.82 : 397,571.49 = 160,781.22 : x
  2. Step 2: Convert to fraction form
    288,080.82/397,571.49 = 160,781.22/x
  3. Step 3: Cross multiply
    288,080.82x = 397,571.49 × 160,781.22
  4. Step 4: Simplify right side
    288,080.82x = 63,922,029,199.42
  5. Step 5: Solve for x
    x = 63,922,029,199.42/288,080.82
  6. Step 6: Final answer
    x = 221,889.22

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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.