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Finding the Fourth Proportional to 388,174.56, 582,258.60 and 107,691.84

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Solution

The fourth proportional to 388,174.56, 582,258.60 and 107,691.84 is: 161,536.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,174.56 : 582,258.60 = 107,691.84 : x
  2. Step 2: Convert to fraction form
    388,174.56/582,258.60 = 107,691.84/x
  3. Step 3: Cross multiply
    388,174.56x = 582,258.60 × 107,691.84
  4. Step 4: Simplify right side
    388,174.56x = 62,704,499,989.82
  5. Step 5: Solve for x
    x = 62,704,499,989.82/388,174.56
  6. Step 6: Final answer
    x = 161,536.86

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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.