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Finding the Fourth Proportional to 259,852.20, 389,663.10 and 119,653.80

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Solution

The fourth proportional to 259,852.20, 389,663.10 and 119,653.80 is: 179,427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,852.20 : 389,663.10 = 119,653.80 : x
  2. Step 2: Convert to fraction form
    259,852.20/389,663.10 = 119,653.80/x
  3. Step 3: Cross multiply
    259,852.20x = 389,663.10 × 119,653.80
  4. Step 4: Simplify right side
    259,852.20x = 46,624,670,634.78
  5. Step 5: Solve for x
    x = 46,624,670,634.78/259,852.20
  6. Step 6: Final answer
    x = 179,427.65

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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.