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Finding the Fourth Proportional to 357,838.39, 493,811.31 and 196,689.97

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Solution

The fourth proportional to 357,838.39, 493,811.31 and 196,689.97 is: 271,429.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,838.39 : 493,811.31 = 196,689.97 : x
  2. Step 2: Convert to fraction form
    357,838.39/493,811.31 = 196,689.97/x
  3. Step 3: Cross multiply
    357,838.39x = 493,811.31 × 196,689.97
  4. Step 4: Simplify right side
    357,838.39x = 97,127,731,749.56
  5. Step 5: Solve for x
    x = 97,127,731,749.56/357,838.39
  6. Step 6: Final answer
    x = 271,429.04

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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.