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Finding the Fourth Proportional to 357,789.15, 493,754.13 and 196,659.09

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Solution

The fourth proportional to 357,789.15, 493,754.13 and 196,659.09 is: 271,392.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,789.15 : 493,754.13 = 196,659.09 : x
  2. Step 2: Convert to fraction form
    357,789.15/493,754.13 = 196,659.09/x
  3. Step 3: Cross multiply
    357,789.15x = 493,754.13 × 196,659.09
  4. Step 4: Simplify right side
    357,789.15x = 97,101,237,889.54
  5. Step 5: Solve for x
    x = 97,101,237,889.54/357,789.15
  6. Step 6: Final answer
    x = 271,392.35

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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.