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Finding the Fourth Proportional to 442,906.20, 618,669 and 442,906.20

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Solution

The fourth proportional to 442,906.20, 618,669 and 442,906.20 is: 618,669

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,906.20 : 618,669 = 442,906.20 : x
  2. Step 2: Convert to fraction form
    442,906.20/618,669 = 442,906.20/x
  3. Step 3: Cross multiply
    442,906.20x = 618,669 × 442,906.20
  4. Step 4: Simplify right side
    442,906.20x = 274,012,335,847.80
  5. Step 5: Solve for x
    x = 274,012,335,847.80/442,906.20
  6. Step 6: Final answer
    x = 618,669

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.