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Finding the Fourth Proportional to 312,728.17, 469,092.39 and 76,069.39

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Solution

The fourth proportional to 312,728.17, 469,092.39 and 76,069.39 is: 114,104.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,728.17 : 469,092.39 = 76,069.39 : x
  2. Step 2: Convert to fraction form
    312,728.17/469,092.39 = 76,069.39/x
  3. Step 3: Cross multiply
    312,728.17x = 469,092.39 × 76,069.39
  4. Step 4: Simplify right side
    312,728.17x = 35,683,571,960.94
  5. Step 5: Solve for x
    x = 35,683,571,960.94/312,728.17
  6. Step 6: Final answer
    x = 114,104.12

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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.