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Finding the Fourth Proportional to 283,860.78, 391,747.23 and 164,628.78

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Solution

The fourth proportional to 283,860.78, 391,747.23 and 164,628.78 is: 227,198.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,860.78 : 391,747.23 = 164,628.78 : x
  2. Step 2: Convert to fraction form
    283,860.78/391,747.23 = 164,628.78/x
  3. Step 3: Cross multiply
    283,860.78x = 391,747.23 × 164,628.78
  4. Step 4: Simplify right side
    283,860.78x = 64,492,868,543.28
  5. Step 5: Solve for x
    x = 64,492,868,543.28/283,860.78
  6. Step 6: Final answer
    x = 227,198.94

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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.