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Finding the Fourth Proportional to 283,642.60, 391,416.86 and 154,578.44

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Solution

The fourth proportional to 283,642.60, 391,416.86 and 154,578.44 is: 213,312.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,642.60 : 391,416.86 = 154,578.44 : x
  2. Step 2: Convert to fraction form
    283,642.60/391,416.86 = 154,578.44/x
  3. Step 3: Cross multiply
    283,642.60x = 391,416.86 × 154,578.44
  4. Step 4: Simplify right side
    283,642.60x = 60,504,607,608.50
  5. Step 5: Solve for x
    x = 60,504,607,608.50/283,642.60
  6. Step 6: Final answer
    x = 213,312.84

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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.