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Finding the Fourth Proportional to 442,647.80, 664,662.90 and 256,023.80

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Solution

The fourth proportional to 442,647.80, 664,662.90 and 256,023.80 is: 384,435.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,647.80 : 664,662.90 = 256,023.80 : x
  2. Step 2: Convert to fraction form
    442,647.80/664,662.90 = 256,023.80/x
  3. Step 3: Cross multiply
    442,647.80x = 664,662.90 × 256,023.80
  4. Step 4: Simplify right side
    442,647.80x = 170,169,521,377.02
  5. Step 5: Solve for x
    x = 170,169,521,377.02/442,647.80
  6. Step 6: Final answer
    x = 384,435.48

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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.