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Finding the Fourth Proportional to 356,274.93, 491,640.65 and 195,126.54

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Solution

The fourth proportional to 356,274.93, 491,640.65 and 195,126.54 is: 269,264.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,274.93 : 491,640.65 = 195,126.54 : x
  2. Step 2: Convert to fraction form
    356,274.93/491,640.65 = 195,126.54/x
  3. Step 3: Cross multiply
    356,274.93x = 491,640.65 × 195,126.54
  4. Step 4: Simplify right side
    356,274.93x = 95,932,137,982.22
  5. Step 5: Solve for x
    x = 95,932,137,982.22/356,274.93
  6. Step 6: Final answer
    x = 269,264.35

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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.