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Finding the Fourth Proportional to 320,963.90, 442,924.77 and 177,720.87

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Solution

The fourth proportional to 320,963.90, 442,924.77 and 177,720.87 is: 245,251.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,963.90 : 442,924.77 = 177,720.87 : x
  2. Step 2: Convert to fraction form
    320,963.90/442,924.77 = 177,720.87/x
  3. Step 3: Cross multiply
    320,963.90x = 442,924.77 × 177,720.87
  4. Step 4: Simplify right side
    320,963.90x = 78,716,975,304.92
  5. Step 5: Solve for x
    x = 78,716,975,304.92/320,963.90
  6. Step 6: Final answer
    x = 245,251.80

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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.