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Finding the Fourth Proportional to 268,983.82, 402,479.17 and 197,958.96

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Solution

The fourth proportional to 268,983.82, 402,479.17 and 197,958.96 is: 296,205.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,983.82 : 402,479.17 = 197,958.96 : x
  2. Step 2: Convert to fraction form
    268,983.82/402,479.17 = 197,958.96/x
  3. Step 3: Cross multiply
    268,983.82x = 402,479.17 × 197,958.96
  4. Step 4: Simplify right side
    268,983.82x = 79,674,357,914.86
  5. Step 5: Solve for x
    x = 79,674,357,914.86/268,983.82
  6. Step 6: Final answer
    x = 296,205.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.