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Finding the Fourth Proportional to 355,906.62, 491,151.16 and 194,761.68

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Solution

The fourth proportional to 355,906.62, 491,151.16 and 194,761.68 is: 268,771.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,906.62 : 491,151.16 = 194,761.68 : x
  2. Step 2: Convert to fraction form
    355,906.62/491,151.16 = 194,761.68/x
  3. Step 3: Cross multiply
    355,906.62x = 491,151.16 × 194,761.68
  4. Step 4: Simplify right side
    355,906.62x = 95,657,423,457.18
  5. Step 5: Solve for x
    x = 95,657,423,457.18/355,906.62
  6. Step 6: Final answer
    x = 268,771.13

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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.