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Finding the Fourth Proportional to 313,128.86, 469,489.17 and 133,120.94

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Solution

The fourth proportional to 313,128.86, 469,489.17 and 133,120.94 is: 199,594.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,128.86 : 469,489.17 = 133,120.94 : x
  2. Step 2: Convert to fraction form
    313,128.86/469,489.17 = 133,120.94/x
  3. Step 3: Cross multiply
    313,128.86x = 469,489.17 × 133,120.94
  4. Step 4: Simplify right side
    313,128.86x = 62,498,839,630.22
  5. Step 5: Solve for x
    x = 62,498,839,630.22/313,128.86
  6. Step 6: Final answer
    x = 199,594.63

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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.