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Finding the Fourth Proportional to 288,144.74, 397,640.22 and 160,820.30

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Solution

The fourth proportional to 288,144.74, 397,640.22 and 160,820.30 is: 221,932.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,144.74 : 397,640.22 = 160,820.30 : x
  2. Step 2: Convert to fraction form
    288,144.74/397,640.22 = 160,820.30/x
  3. Step 3: Cross multiply
    288,144.74x = 397,640.22 × 160,820.30
  4. Step 4: Simplify right side
    288,144.74x = 63,948,619,472.47
  5. Step 5: Solve for x
    x = 63,948,619,472.47/288,144.74
  6. Step 6: Final answer
    x = 221,932.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.