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Finding the Fourth Proportional to 378,727.60, 568,091.40 and 191,714.80

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Solution

The fourth proportional to 378,727.60, 568,091.40 and 191,714.80 is: 287,572.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,727.60 : 568,091.40 = 191,714.80 : x
  2. Step 2: Convert to fraction form
    378,727.60/568,091.40 = 191,714.80/x
  3. Step 3: Cross multiply
    378,727.60x = 568,091.40 × 191,714.80
  4. Step 4: Simplify right side
    378,727.60x = 108,911,529,132.72
  5. Step 5: Solve for x
    x = 108,911,529,132.72/378,727.60
  6. Step 6: Final answer
    x = 287,572.20

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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.