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Finding the Fourth Proportional to 388,199.52, 582,114.72 and 135,449.28

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Solution

The fourth proportional to 388,199.52, 582,114.72 and 135,449.28 is: 203,109.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,199.52 : 582,114.72 = 135,449.28 : x
  2. Step 2: Convert to fraction form
    388,199.52/582,114.72 = 135,449.28/x
  3. Step 3: Cross multiply
    388,199.52x = 582,114.72 × 135,449.28
  4. Step 4: Simplify right side
    388,199.52x = 78,847,019,701.40
  5. Step 5: Solve for x
    x = 78,847,019,701.40/388,199.52
  6. Step 6: Final answer
    x = 203,109.52

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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.