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Finding the Fourth Proportional to 357,785.52, 493,723.14 and 196,640.70

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Solution

The fourth proportional to 357,785.52, 493,723.14 and 196,640.70 is: 271,352.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,785.52 : 493,723.14 = 196,640.70 : x
  2. Step 2: Convert to fraction form
    357,785.52/493,723.14 = 196,640.70/x
  3. Step 3: Cross multiply
    357,785.52x = 493,723.14 × 196,640.70
  4. Step 4: Simplify right side
    357,785.52x = 97,086,063,855.80
  5. Step 5: Solve for x
    x = 97,086,063,855.80/357,785.52
  6. Step 6: Final answer
    x = 271,352.69

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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.