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Finding the Fourth Proportional to 356,840.64, 492,452.64 and 195,696

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Solution

The fourth proportional to 356,840.64, 492,452.64 and 195,696 is: 270,067.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,840.64 : 492,452.64 = 195,696 : x
  2. Step 2: Convert to fraction form
    356,840.64/492,452.64 = 195,696/x
  3. Step 3: Cross multiply
    356,840.64x = 492,452.64 × 195,696
  4. Step 4: Simplify right side
    356,840.64x = 96,371,011,837.44
  5. Step 5: Solve for x
    x = 96,371,011,837.44/356,840.64
  6. Step 6: Final answer
    x = 270,067.37

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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.