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Finding the Fourth Proportional to 259,761.78, 389,526.03 and 119,560.50

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Solution

The fourth proportional to 259,761.78, 389,526.03 and 119,560.50 is: 179,287.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,761.78 : 389,526.03 = 119,560.50 : x
  2. Step 2: Convert to fraction form
    259,761.78/389,526.03 = 119,560.50/x
  3. Step 3: Cross multiply
    259,761.78x = 389,526.03 × 119,560.50
  4. Step 4: Simplify right side
    259,761.78x = 46,571,926,909.82
  5. Step 5: Solve for x
    x = 46,571,926,909.82/259,761.78
  6. Step 6: Final answer
    x = 179,287.06

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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.