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Finding the Fourth Proportional to 388,505.97, 582,838.01 and 163,867.20

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Solution

The fourth proportional to 388,505.97, 582,838.01 and 163,867.20 is: 245,834.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,505.97 : 582,838.01 = 163,867.20 : x
  2. Step 2: Convert to fraction form
    388,505.97/582,838.01 = 163,867.20/x
  3. Step 3: Cross multiply
    388,505.97x = 582,838.01 × 163,867.20
  4. Step 4: Simplify right side
    388,505.97x = 95,508,033,179.38
  5. Step 5: Solve for x
    x = 95,508,033,179.38/388,505.97
  6. Step 6: Final answer
    x = 245,834.15

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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.