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Finding the Fourth Proportional to 257,195.32, 355,102.82 and 160,546.32

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Solution

The fourth proportional to 257,195.32, 355,102.82 and 160,546.32 is: 221,662.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,195.32 : 355,102.82 = 160,546.32 : x
  2. Step 2: Convert to fraction form
    257,195.32/355,102.82 = 160,546.32/x
  3. Step 3: Cross multiply
    257,195.32x = 355,102.82 × 160,546.32
  4. Step 4: Simplify right side
    257,195.32x = 57,010,450,972.62
  5. Step 5: Solve for x
    x = 57,010,450,972.62/257,195.32
  6. Step 6: Final answer
    x = 221,662.09

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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.