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Finding the Fourth Proportional to 388,078.85, 582,215.14 and 135,362.98

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Solution

The fourth proportional to 388,078.85, 582,215.14 and 135,362.98 is: 203,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,078.85 : 582,215.14 = 135,362.98 : x
  2. Step 2: Convert to fraction form
    388,078.85/582,215.14 = 135,362.98/x
  3. Step 3: Cross multiply
    388,078.85x = 582,215.14 × 135,362.98
  4. Step 4: Simplify right side
    388,078.85x = 78,810,376,351.52
  5. Step 5: Solve for x
    x = 78,810,376,351.52/388,078.85
  6. Step 6: Final answer
    x = 203,078.26

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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.