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Finding the Fourth Proportional to 283,442.50, 391,142.52 and 154,378

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Solution

The fourth proportional to 283,442.50, 391,142.52 and 154,378 is: 213,037.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,442.50 : 391,142.52 = 154,378 : x
  2. Step 2: Convert to fraction form
    283,442.50/391,142.52 = 154,378/x
  3. Step 3: Cross multiply
    283,442.50x = 391,142.52 × 154,378
  4. Step 4: Simplify right side
    283,442.50x = 60,383,799,952.56
  5. Step 5: Solve for x
    x = 60,383,799,952.56/283,442.50
  6. Step 6: Final answer
    x = 213,037.21

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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.