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Finding the Fourth Proportional to 393,503.94, 590,255.91 and 109,194.58

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Solution

The fourth proportional to 393,503.94, 590,255.91 and 109,194.58 is: 163,791.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,503.94 : 590,255.91 = 109,194.58 : x
  2. Step 2: Convert to fraction form
    393,503.94/590,255.91 = 109,194.58/x
  3. Step 3: Cross multiply
    393,503.94x = 590,255.91 × 109,194.58
  4. Step 4: Simplify right side
    393,503.94x = 64,452,746,184.97
  5. Step 5: Solve for x
    x = 64,452,746,184.97/393,503.94
  6. Step 6: Final answer
    x = 163,791.87

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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.