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Finding the Fourth Proportional to 283,624.32, 391,396.44 and 154,563.90

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Solution

The fourth proportional to 283,624.32, 391,396.44 and 154,563.90 is: 213,295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,624.32 : 391,396.44 = 154,563.90 : x
  2. Step 2: Convert to fraction form
    283,624.32/391,396.44 = 154,563.90/x
  3. Step 3: Cross multiply
    283,624.32x = 391,396.44 × 154,563.90
  4. Step 4: Simplify right side
    283,624.32x = 60,495,760,212.52
  5. Step 5: Solve for x
    x = 60,495,760,212.52/283,624.32
  6. Step 6: Final answer
    x = 213,295.39

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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.