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Finding the Fourth Proportional to 200,723.52, 301,046.40 and 190,732.80

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Solution

The fourth proportional to 200,723.52, 301,046.40 and 190,732.80 is: 286,062.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,723.52 : 301,046.40 = 190,732.80 : x
  2. Step 2: Convert to fraction form
    200,723.52/301,046.40 = 190,732.80/x
  3. Step 3: Cross multiply
    200,723.52x = 301,046.40 × 190,732.80
  4. Step 4: Simplify right side
    200,723.52x = 57,419,422,801.92
  5. Step 5: Solve for x
    x = 57,419,422,801.92/200,723.52
  6. Step 6: Final answer
    x = 286,062.26

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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.