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Finding the Fourth Proportional to 342,839.76, 472,961.76 and 222,019.98

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Solution

The fourth proportional to 342,839.76, 472,961.76 and 222,019.98 is: 306,285.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,839.76 : 472,961.76 = 222,019.98 : x
  2. Step 2: Convert to fraction form
    342,839.76/472,961.76 = 222,019.98/x
  3. Step 3: Cross multiply
    342,839.76x = 472,961.76 × 222,019.98
  4. Step 4: Simplify right side
    342,839.76x = 105,006,960,495.97
  5. Step 5: Solve for x
    x = 105,006,960,495.97/342,839.76
  6. Step 6: Final answer
    x = 306,285.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.