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Finding the Fourth Proportional to 215,802.56, 322,105.84 and 202,505.60

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Solution

The fourth proportional to 215,802.56, 322,105.84 and 202,505.60 is: 302,258.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,802.56 : 322,105.84 = 202,505.60 : x
  2. Step 2: Convert to fraction form
    215,802.56/322,105.84 = 202,505.60/x
  3. Step 3: Cross multiply
    215,802.56x = 322,105.84 × 202,505.60
  4. Step 4: Simplify right side
    215,802.56x = 65,228,236,392.70
  5. Step 5: Solve for x
    x = 65,228,236,392.70/215,802.56
  6. Step 6: Final answer
    x = 302,258.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.