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Finding the Fourth Proportional to 320,960.97, 442,920.72 and 177,717.94

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Solution

The fourth proportional to 320,960.97, 442,920.72 and 177,717.94 is: 245,247.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,960.97 : 442,920.72 = 177,717.94 : x
  2. Step 2: Convert to fraction form
    320,960.97/442,920.72 = 177,717.94/x
  3. Step 3: Cross multiply
    320,960.97x = 442,920.72 × 177,717.94
  4. Step 4: Simplify right side
    320,960.97x = 78,714,957,941.72
  5. Step 5: Solve for x
    x = 78,714,957,941.72/320,960.97
  6. Step 6: Final answer
    x = 245,247.76

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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.