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Finding the Fourth Proportional to 307,691.60, 461,796.60 and 120,837.20

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Solution

The fourth proportional to 307,691.60, 461,796.60 and 120,837.20 is: 181,357.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,691.60 : 461,796.60 = 120,837.20 : x
  2. Step 2: Convert to fraction form
    307,691.60/461,796.60 = 120,837.20/x
  3. Step 3: Cross multiply
    307,691.60x = 461,796.60 × 120,837.20
  4. Step 4: Simplify right side
    307,691.60x = 55,802,208,113.52
  5. Step 5: Solve for x
    x = 55,802,208,113.52/307,691.60
  6. Step 6: Final answer
    x = 181,357.59

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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.