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Finding the Fourth Proportional to 389,764.80, 584,474.40 and 179,467.20

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Solution

The fourth proportional to 389,764.80, 584,474.40 and 179,467.20 is: 269,121.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,764.80 : 584,474.40 = 179,467.20 : x
  2. Step 2: Convert to fraction form
    389,764.80/584,474.40 = 179,467.20/x
  3. Step 3: Cross multiply
    389,764.80x = 584,474.40 × 179,467.20
  4. Step 4: Simplify right side
    389,764.80x = 104,893,984,039.68
  5. Step 5: Solve for x
    x = 104,893,984,039.68/389,764.80
  6. Step 6: Final answer
    x = 269,121.23

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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.