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Finding the Fourth Proportional to 193,371.80, 290,276.40 and 149,194.40

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Solution

The fourth proportional to 193,371.80, 290,276.40 and 149,194.40 is: 223,960.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,371.80 : 290,276.40 = 149,194.40 : x
  2. Step 2: Convert to fraction form
    193,371.80/290,276.40 = 149,194.40/x
  3. Step 3: Cross multiply
    193,371.80x = 290,276.40 × 149,194.40
  4. Step 4: Simplify right side
    193,371.80x = 43,307,613,332.16
  5. Step 5: Solve for x
    x = 43,307,613,332.16/193,371.80
  6. Step 6: Final answer
    x = 223,960.34

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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.