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Finding the Fourth Proportional to 259,843.20, 389,764.80 and 175,643.70

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Solution

The fourth proportional to 259,843.20, 389,764.80 and 175,643.70 is: 263,465.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,843.20 : 389,764.80 = 175,643.70 : x
  2. Step 2: Convert to fraction form
    259,843.20/389,764.80 = 175,643.70/x
  3. Step 3: Cross multiply
    259,843.20x = 389,764.80 × 175,643.70
  4. Step 4: Simplify right side
    259,843.20x = 68,459,731,601.76
  5. Step 5: Solve for x
    x = 68,459,731,601.76/259,843.20
  6. Step 6: Final answer
    x = 263,465.55

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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.