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Finding the Fourth Proportional to 307,318.78, 461,040.12 and 129,825.49

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Solution

The fourth proportional to 307,318.78, 461,040.12 and 129,825.49 is: 194,764.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,318.78 : 461,040.12 = 129,825.49 : x
  2. Step 2: Convert to fraction form
    307,318.78/461,040.12 = 129,825.49/x
  3. Step 3: Cross multiply
    307,318.78x = 461,040.12 × 129,825.49
  4. Step 4: Simplify right side
    307,318.78x = 59,854,759,488.66
  5. Step 5: Solve for x
    x = 59,854,759,488.66/307,318.78
  6. Step 6: Final answer
    x = 194,764.41

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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.