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Finding the Fourth Proportional to 357,410.36, 493,229.72 and 196,268.78

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Solution

The fourth proportional to 357,410.36, 493,229.72 and 196,268.78 is: 270,852.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,410.36 : 493,229.72 = 196,268.78 : x
  2. Step 2: Convert to fraction form
    357,410.36/493,229.72 = 196,268.78/x
  3. Step 3: Cross multiply
    357,410.36x = 493,229.72 × 196,268.78
  4. Step 4: Simplify right side
    357,410.36x = 96,805,597,127.89
  5. Step 5: Solve for x
    x = 96,805,597,127.89/357,410.36
  6. Step 6: Final answer
    x = 270,852.80

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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.