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Finding the Fourth Proportional to 357,872.43, 493,865.55 and 196,737.86

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Solution

The fourth proportional to 357,872.43, 493,865.55 and 196,737.86 is: 271,499.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,872.43 : 493,865.55 = 196,737.86 : x
  2. Step 2: Convert to fraction form
    357,872.43/493,865.55 = 196,737.86/x
  3. Step 3: Cross multiply
    357,872.43x = 493,865.55 × 196,737.86
  4. Step 4: Simplify right side
    357,872.43x = 97,162,048,965.40
  5. Step 5: Solve for x
    x = 97,162,048,965.40/357,872.43
  6. Step 6: Final answer
    x = 271,499.12

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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.