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Finding the Fourth Proportional to 388,226.32, 582,339.48 and 177,864.26

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Solution

The fourth proportional to 388,226.32, 582,339.48 and 177,864.26 is: 266,796.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,226.32 : 582,339.48 = 177,864.26 : x
  2. Step 2: Convert to fraction form
    388,226.32/582,339.48 = 177,864.26/x
  3. Step 3: Cross multiply
    388,226.32x = 582,339.48 × 177,864.26
  4. Step 4: Simplify right side
    388,226.32x = 103,577,377,100.30
  5. Step 5: Solve for x
    x = 103,577,377,100.30/388,226.32
  6. Step 6: Final answer
    x = 266,796.38

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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.