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Finding the Fourth Proportional to 388,538.80, 582,808.20 and 164,152.60

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Solution

The fourth proportional to 388,538.80, 582,808.20 and 164,152.60 is: 246,228.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,538.80 : 582,808.20 = 164,152.60 : x
  2. Step 2: Convert to fraction form
    388,538.80/582,808.20 = 164,152.60/x
  3. Step 3: Cross multiply
    388,538.80x = 582,808.20 × 164,152.60
  4. Step 4: Simplify right side
    388,538.80x = 95,669,481,331.32
  5. Step 5: Solve for x
    x = 95,669,481,331.32/388,538.80
  6. Step 6: Final answer
    x = 246,228.90

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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.