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Finding the Fourth Proportional to 283,998.82, 391,919.70 and 156,674.38

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Solution

The fourth proportional to 283,998.82, 391,919.70 and 156,674.38 is: 216,211.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,998.82 : 391,919.70 = 156,674.38 : x
  2. Step 2: Convert to fraction form
    283,998.82/391,919.70 = 156,674.38/x
  3. Step 3: Cross multiply
    283,998.82x = 391,919.70 × 156,674.38
  4. Step 4: Simplify right side
    283,998.82x = 61,403,776,007.29
  5. Step 5: Solve for x
    x = 61,403,776,007.29/283,998.82
  6. Step 6: Final answer
    x = 216,211.38

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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.