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Finding the Fourth Proportional to 279,000.80, 385,022.64 and 164,284.44

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Solution

The fourth proportional to 279,000.80, 385,022.64 and 164,284.44 is: 226,713.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,000.80 : 385,022.64 = 164,284.44 : x
  2. Step 2: Convert to fraction form
    279,000.80/385,022.64 = 164,284.44/x
  3. Step 3: Cross multiply
    279,000.80x = 385,022.64 × 164,284.44
  4. Step 4: Simplify right side
    279,000.80x = 63,253,228,799.72
  5. Step 5: Solve for x
    x = 63,253,228,799.72/279,000.80
  6. Step 6: Final answer
    x = 226,713.43

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1.5x scale

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.