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Finding the Fourth Proportional to 389,467.20, 584,200.80 and 140,116.80

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Solution

The fourth proportional to 389,467.20, 584,200.80 and 140,116.80 is: 210,175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,467.20 : 584,200.80 = 140,116.80 : x
  2. Step 2: Convert to fraction form
    389,467.20/584,200.80 = 140,116.80/x
  3. Step 3: Cross multiply
    389,467.20x = 584,200.80 × 140,116.80
  4. Step 4: Simplify right side
    389,467.20x = 81,856,346,653.44
  5. Step 5: Solve for x
    x = 81,856,346,653.44/389,467.20
  6. Step 6: Final answer
    x = 210,175.20

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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.