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Finding the Fourth Proportional to 356,838, 492,436.44 and 197,862

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Solution

The fourth proportional to 356,838, 492,436.44 and 197,862 is: 273,049.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,838 : 492,436.44 = 197,862 : x
  2. Step 2: Convert to fraction form
    356,838/492,436.44 = 197,862/x
  3. Step 3: Cross multiply
    356,838x = 492,436.44 × 197,862
  4. Step 4: Simplify right side
    356,838x = 97,434,458,891.28
  5. Step 5: Solve for x
    x = 97,434,458,891.28/356,838
  6. Step 6: Final answer
    x = 273,049.56

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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.