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Finding the Fourth Proportional to 378,484.20, 567,714 and 153,778.20

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Solution

The fourth proportional to 378,484.20, 567,714 and 153,778.20 is: 230,662.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,484.20 : 567,714 = 153,778.20 : x
  2. Step 2: Convert to fraction form
    378,484.20/567,714 = 153,778.20/x
  3. Step 3: Cross multiply
    378,484.20x = 567,714 × 153,778.20
  4. Step 4: Simplify right side
    378,484.20x = 87,302,037,034.80
  5. Step 5: Solve for x
    x = 87,302,037,034.80/378,484.20
  6. Step 6: Final answer
    x = 230,662.30

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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.