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Finding the Fourth Proportional to 357,876.56, 493,869.48 and 196,742

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Solution

The fourth proportional to 357,876.56, 493,869.48 and 196,742 is: 271,503.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,876.56 : 493,869.48 = 196,742 : x
  2. Step 2: Convert to fraction form
    357,876.56/493,869.48 = 196,742/x
  3. Step 3: Cross multiply
    357,876.56x = 493,869.48 × 196,742
  4. Step 4: Simplify right side
    357,876.56x = 97,164,869,234.16
  5. Step 5: Solve for x
    x = 97,164,869,234.16/357,876.56
  6. Step 6: Final answer
    x = 271,503.87

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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.