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Finding the Fourth Proportional to 307,519.50, 461,357.01 and 85,903.50

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Solution

The fourth proportional to 307,519.50, 461,357.01 and 85,903.50 is: 128,876.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,519.50 : 461,357.01 = 85,903.50 : x
  2. Step 2: Convert to fraction form
    307,519.50/461,357.01 = 85,903.50/x
  3. Step 3: Cross multiply
    307,519.50x = 461,357.01 × 85,903.50
  4. Step 4: Simplify right side
    307,519.50x = 39,632,181,908.54
  5. Step 5: Solve for x
    x = 39,632,181,908.54/307,519.50
  6. Step 6: Final answer
    x = 128,876.97

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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.