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Finding the Fourth Proportional to 353,794.80, 488,112.29 and 231,358.87

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Solution

The fourth proportional to 353,794.80, 488,112.29 and 231,358.87 is: 319,193.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,794.80 : 488,112.29 = 231,358.87 : x
  2. Step 2: Convert to fraction form
    353,794.80/488,112.29 = 231,358.87/x
  3. Step 3: Cross multiply
    353,794.80x = 488,112.29 × 231,358.87
  4. Step 4: Simplify right side
    353,794.80x = 112,929,107,847.51
  5. Step 5: Solve for x
    x = 112,929,107,847.51/353,794.80
  6. Step 6: Final answer
    x = 319,193.80

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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.