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Finding the Fourth Proportional to 388,243.94, 582,278.42 and 151,464.74

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Solution

The fourth proportional to 388,243.94, 582,278.42 and 151,464.74 is: 227,162.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,243.94 : 582,278.42 = 151,464.74 : x
  2. Step 2: Convert to fraction form
    388,243.94/582,278.42 = 151,464.74/x
  3. Step 3: Cross multiply
    388,243.94x = 582,278.42 × 151,464.74
  4. Step 4: Simplify right side
    388,243.94x = 88,194,645,824.20
  5. Step 5: Solve for x
    x = 88,194,645,824.20/388,243.94
  6. Step 6: Final answer
    x = 227,162.97

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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.