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Finding the Fourth Proportional to 442,682.40, 664,369.20 and 206,054.40

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Solution

The fourth proportional to 442,682.40, 664,369.20 and 206,054.40 is: 309,242.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,682.40 : 664,369.20 = 206,054.40 : x
  2. Step 2: Convert to fraction form
    442,682.40/664,369.20 = 206,054.40/x
  3. Step 3: Cross multiply
    442,682.40x = 664,369.20 × 206,054.40
  4. Step 4: Simplify right side
    442,682.40x = 136,896,196,884.48
  5. Step 5: Solve for x
    x = 136,896,196,884.48/442,682.40
  6. Step 6: Final answer
    x = 309,242.47

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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.