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Finding the Fourth Proportional to 288,107.70, 397,626.24 and 160,809.72

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Solution

The fourth proportional to 288,107.70, 397,626.24 and 160,809.72 is: 221,938.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,107.70 : 397,626.24 = 160,809.72 : x
  2. Step 2: Convert to fraction form
    288,107.70/397,626.24 = 160,809.72/x
  3. Step 3: Cross multiply
    288,107.70x = 397,626.24 × 160,809.72
  4. Step 4: Simplify right side
    288,107.70x = 63,942,164,319.05
  5. Step 5: Solve for x
    x = 63,942,164,319.05/288,107.70
  6. Step 6: Final answer
    x = 221,938.41

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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.