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Finding the Fourth Proportional to 259,299, 389,014.20 and 72,310.50

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Solution

The fourth proportional to 259,299, 389,014.20 and 72,310.50 is: 108,484.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,299 : 389,014.20 = 72,310.50 : x
  2. Step 2: Convert to fraction form
    259,299/389,014.20 = 72,310.50/x
  3. Step 3: Cross multiply
    259,299x = 389,014.20 × 72,310.50
  4. Step 4: Simplify right side
    259,299x = 28,129,811,309.10
  5. Step 5: Solve for x
    x = 28,129,811,309.10/259,299
  6. Step 6: Final answer
    x = 108,484.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.