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Finding the Fourth Proportional to 221,702.49, 305,858.88 and 163,698.24

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Solution

The fourth proportional to 221,702.49, 305,858.88 and 163,698.24 is: 225,836.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,702.49 : 305,858.88 = 163,698.24 : x
  2. Step 2: Convert to fraction form
    221,702.49/305,858.88 = 163,698.24/x
  3. Step 3: Cross multiply
    221,702.49x = 305,858.88 × 163,698.24
  4. Step 4: Simplify right side
    221,702.49x = 50,068,560,344.37
  5. Step 5: Solve for x
    x = 50,068,560,344.37/221,702.49
  6. Step 6: Final answer
    x = 225,836.71

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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.