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Finding the Fourth Proportional to 305,853.64, 422,124.01 and 220,096.51

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Solution

The fourth proportional to 305,853.64, 422,124.01 and 220,096.51 is: 303,766.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,853.64 : 422,124.01 = 220,096.51 : x
  2. Step 2: Convert to fraction form
    305,853.64/422,124.01 = 220,096.51/x
  3. Step 3: Cross multiply
    305,853.64x = 422,124.01 × 220,096.51
  4. Step 4: Simplify right side
    305,853.64x = 92,908,019,782.65
  5. Step 5: Solve for x
    x = 92,908,019,782.65/305,853.64
  6. Step 6: Final answer
    x = 303,766.27

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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.