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Finding the Fourth Proportional to 288,180.70, 397,689.60 and 160,856.30

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Solution

The fourth proportional to 288,180.70, 397,689.60 and 160,856.30 is: 221,981.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,180.70 : 397,689.60 = 160,856.30 : x
  2. Step 2: Convert to fraction form
    288,180.70/397,689.60 = 160,856.30/x
  3. Step 3: Cross multiply
    288,180.70x = 397,689.60 × 160,856.30
  4. Step 4: Simplify right side
    288,180.70x = 63,970,876,060.09
  5. Step 5: Solve for x
    x = 63,970,876,060.09/288,180.70
  6. Step 6: Final answer
    x = 221,981.82

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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.