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Finding the Fourth Proportional to 279,291, 385,447.50 and 160,059

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Solution

The fourth proportional to 279,291, 385,447.50 and 160,059 is: 220,896.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,291 : 385,447.50 = 160,059 : x
  2. Step 2: Convert to fraction form
    279,291/385,447.50 = 160,059/x
  3. Step 3: Cross multiply
    279,291x = 385,447.50 × 160,059
  4. Step 4: Simplify right side
    279,291x = 61,694,341,402.50
  5. Step 5: Solve for x
    x = 61,694,341,402.50/279,291
  6. Step 6: Final answer
    x = 220,896.27

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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.