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Finding the Fourth Proportional to 283,919.94, 391,808.70 and 163,069.02

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Solution

The fourth proportional to 283,919.94, 391,808.70 and 163,069.02 is: 225,034.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,919.94 : 391,808.70 = 163,069.02 : x
  2. Step 2: Convert to fraction form
    283,919.94/391,808.70 = 163,069.02/x
  3. Step 3: Cross multiply
    283,919.94x = 391,808.70 × 163,069.02
  4. Step 4: Simplify right side
    283,919.94x = 63,891,860,736.47
  5. Step 5: Solve for x
    x = 63,891,860,736.47/283,919.94
  6. Step 6: Final answer
    x = 225,034.78

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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.