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Finding the Fourth Proportional to 307,224, 461,017.44 and 129,719.52

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Solution

The fourth proportional to 307,224, 461,017.44 and 129,719.52 is: 194,655.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,224 : 461,017.44 = 129,719.52 : x
  2. Step 2: Convert to fraction form
    307,224/461,017.44 = 129,719.52/x
  3. Step 3: Cross multiply
    307,224x = 461,017.44 × 129,719.52
  4. Step 4: Simplify right side
    307,224x = 59,802,961,028.43
  5. Step 5: Solve for x
    x = 59,802,961,028.43/307,224
  6. Step 6: Final answer
    x = 194,655.89

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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.