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Finding the Fourth Proportional to 378,704.16, 567,514.89 and 278,074.80

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Solution

The fourth proportional to 378,704.16, 567,514.89 and 278,074.80 is: 416,714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,704.16 : 567,514.89 = 278,074.80 : x
  2. Step 2: Convert to fraction form
    378,704.16/567,514.89 = 278,074.80/x
  3. Step 3: Cross multiply
    378,704.16x = 567,514.89 × 278,074.80
  4. Step 4: Simplify right side
    378,704.16x = 157,811,589,533.77
  5. Step 5: Solve for x
    x = 157,811,589,533.77/378,704.16
  6. Step 6: Final answer
    x = 416,714.70

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1.5x scale

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.