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Finding the Fourth Proportional to 201,801.75, 302,703 and 189,470.66

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Solution

The fourth proportional to 201,801.75, 302,703 and 189,470.66 is: 284,206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,801.75 : 302,703 = 189,470.66 : x
  2. Step 2: Convert to fraction form
    201,801.75/302,703 = 189,470.66/x
  3. Step 3: Cross multiply
    201,801.75x = 302,703 × 189,470.66
  4. Step 4: Simplify right side
    201,801.75x = 57,353,335,680.47
  5. Step 5: Solve for x
    x = 57,353,335,680.47/201,801.75
  6. Step 6: Final answer
    x = 284,206.33

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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.