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Finding the Fourth Proportional to 307,217.72, 461,035.55 and 188,526.80

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Solution

The fourth proportional to 307,217.72, 461,035.55 and 188,526.80 is: 282,918.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,217.72 : 461,035.55 = 188,526.80 : x
  2. Step 2: Convert to fraction form
    307,217.72/461,035.55 = 188,526.80/x
  3. Step 3: Cross multiply
    307,217.72x = 461,035.55 × 188,526.80
  4. Step 4: Simplify right side
    307,217.72x = 86,917,555,093.88
  5. Step 5: Solve for x
    x = 86,917,555,093.88/307,217.72
  6. Step 6: Final answer
    x = 282,918.43

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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.