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Finding the Fourth Proportional to 442,670.20, 664,005.30 and 256,046.20

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Solution

The fourth proportional to 442,670.20, 664,005.30 and 256,046.20 is: 384,069.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,670.20 : 664,005.30 = 256,046.20 : x
  2. Step 2: Convert to fraction form
    442,670.20/664,005.30 = 256,046.20/x
  3. Step 3: Cross multiply
    442,670.20x = 664,005.30 × 256,046.20
  4. Step 4: Simplify right side
    442,670.20x = 170,016,033,844.86
  5. Step 5: Solve for x
    x = 170,016,033,844.86/442,670.20
  6. Step 6: Final answer
    x = 384,069.30

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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.