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Finding the Fourth Proportional to 215,051.60, 322,801.48 and 210,227

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Solution

The fourth proportional to 215,051.60, 322,801.48 and 210,227 is: 315,559.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,051.60 : 322,801.48 = 210,227 : x
  2. Step 2: Convert to fraction form
    215,051.60/322,801.48 = 210,227/x
  3. Step 3: Cross multiply
    215,051.60x = 322,801.48 × 210,227
  4. Step 4: Simplify right side
    215,051.60x = 67,861,586,735.96
  5. Step 5: Solve for x
    x = 67,861,586,735.96/215,051.60
  6. Step 6: Final answer
    x = 315,559.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.