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Finding the Fourth Proportional to 320,436, 442,194.39 and 177,197.22

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Solution

The fourth proportional to 320,436, 442,194.39 and 177,197.22 is: 244,528.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,436 : 442,194.39 = 177,197.22 : x
  2. Step 2: Convert to fraction form
    320,436/442,194.39 = 177,197.22/x
  3. Step 3: Cross multiply
    320,436x = 442,194.39 × 177,197.22
  4. Step 4: Simplify right side
    320,436x = 78,355,616,607.60
  5. Step 5: Solve for x
    x = 78,355,616,607.60/320,436
  6. Step 6: Final answer
    x = 244,528.13

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1.5x scale

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.