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Finding the Fourth Proportional to 378,121.20, 567,181.80 and 210,159.60

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Solution

The fourth proportional to 378,121.20, 567,181.80 and 210,159.60 is: 315,239.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,121.20 : 567,181.80 = 210,159.60 : x
  2. Step 2: Convert to fraction form
    378,121.20/567,181.80 = 210,159.60/x
  3. Step 3: Cross multiply
    378,121.20x = 567,181.80 × 210,159.60
  4. Step 4: Simplify right side
    378,121.20x = 119,198,700,215.28
  5. Step 5: Solve for x
    x = 119,198,700,215.28/378,121.20
  6. Step 6: Final answer
    x = 315,239.40

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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.