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Finding the Fourth Proportional to 253,728.18, 349,976.07 and 163,198.71

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Solution

The fourth proportional to 253,728.18, 349,976.07 and 163,198.71 is: 225,105.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,728.18 : 349,976.07 = 163,198.71 : x
  2. Step 2: Convert to fraction form
    253,728.18/349,976.07 = 163,198.71/x
  3. Step 3: Cross multiply
    253,728.18x = 349,976.07 × 163,198.71
  4. Step 4: Simplify right side
    253,728.18x = 57,115,643,154.87
  5. Step 5: Solve for x
    x = 57,115,643,154.87/253,728.18
  6. Step 6: Final answer
    x = 225,105.64

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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.