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Finding the Fourth Proportional to 259,309, 389,029.14 and 72,320.50

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Solution

The fourth proportional to 259,309, 389,029.14 and 72,320.50 is: 108,499.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,309 : 389,029.14 = 72,320.50 : x
  2. Step 2: Convert to fraction form
    259,309/389,029.14 = 72,320.50/x
  3. Step 3: Cross multiply
    259,309x = 389,029.14 × 72,320.50
  4. Step 4: Simplify right side
    259,309x = 28,134,781,919.37
  5. Step 5: Solve for x
    x = 28,134,781,919.37/259,309
  6. Step 6: Final answer
    x = 108,499.06

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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.