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Finding the Fourth Proportional to 302,003.50, 416,422.42 and 192,963.78

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Solution

The fourth proportional to 302,003.50, 416,422.42 and 192,963.78 is: 266,071.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,003.50 : 416,422.42 = 192,963.78 : x
  2. Step 2: Convert to fraction form
    302,003.50/416,422.42 = 192,963.78/x
  3. Step 3: Cross multiply
    302,003.50x = 416,422.42 × 192,963.78
  4. Step 4: Simplify right side
    302,003.50x = 80,354,442,919.57
  5. Step 5: Solve for x
    x = 80,354,442,919.57/302,003.50
  6. Step 6: Final answer
    x = 266,071.23

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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.