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Finding the Fourth Proportional to 259,449.60, 389,006.66 and 101,694

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Solution

The fourth proportional to 259,449.60, 389,006.66 and 101,694 is: 152,475.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,449.60 : 389,006.66 = 101,694 : x
  2. Step 2: Convert to fraction form
    259,449.60/389,006.66 = 101,694/x
  3. Step 3: Cross multiply
    259,449.60x = 389,006.66 × 101,694
  4. Step 4: Simplify right side
    259,449.60x = 39,559,643,282.04
  5. Step 5: Solve for x
    x = 39,559,643,282.04/259,449.60
  6. Step 6: Final answer
    x = 152,475.25

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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.