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Finding the Fourth Proportional to 288,082.32, 397,573.56 and 160,782.72

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Solution

The fourth proportional to 288,082.32, 397,573.56 and 160,782.72 is: 221,891.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,082.32 : 397,573.56 = 160,782.72 : x
  2. Step 2: Convert to fraction form
    288,082.32/397,573.56 = 160,782.72/x
  3. Step 3: Cross multiply
    288,082.32x = 397,573.56 × 160,782.72
  4. Step 4: Simplify right side
    288,082.32x = 63,922,958,376.88
  5. Step 5: Solve for x
    x = 63,922,958,376.88/288,082.32
  6. Step 6: Final answer
    x = 221,891.29

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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.