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Finding the Fourth Proportional to 357,838.22, 493,817.85 and 196,709.78

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Solution

The fourth proportional to 357,838.22, 493,817.85 and 196,709.78 is: 271,460.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,838.22 : 493,817.85 = 196,709.78 : x
  2. Step 2: Convert to fraction form
    357,838.22/493,817.85 = 196,709.78/x
  3. Step 3: Cross multiply
    357,838.22x = 493,817.85 × 196,709.78
  4. Step 4: Simplify right side
    357,838.22x = 97,138,801,868.12
  5. Step 5: Solve for x
    x = 97,138,801,868.12/357,838.22
  6. Step 6: Final answer
    x = 271,460.11

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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.