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Finding the Fourth Proportional to 388,656, 582,984 and 108,180.54

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Solution

The fourth proportional to 388,656, 582,984 and 108,180.54 is: 162,270.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,656 : 582,984 = 108,180.54 : x
  2. Step 2: Convert to fraction form
    388,656/582,984 = 108,180.54/x
  3. Step 3: Cross multiply
    388,656x = 582,984 × 108,180.54
  4. Step 4: Simplify right side
    388,656x = 63,067,523,931.36
  5. Step 5: Solve for x
    x = 63,067,523,931.36/388,656
  6. Step 6: Final answer
    x = 162,270.81

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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.