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Finding the Fourth Proportional to 307,229.72, 461,053.56 and 188,538.80

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Solution

The fourth proportional to 307,229.72, 461,053.56 and 188,538.80 is: 282,936.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,229.72 : 461,053.56 = 188,538.80 : x
  2. Step 2: Convert to fraction form
    307,229.72/461,053.56 = 188,538.80/x
  3. Step 3: Cross multiply
    307,229.72x = 461,053.56 × 188,538.80
  4. Step 4: Simplify right side
    307,229.72x = 86,926,484,938.13
  5. Step 5: Solve for x
    x = 86,926,484,938.13/307,229.72
  6. Step 6: Final answer
    x = 282,936.45

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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.