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Finding the Fourth Proportional to 318,614.64, 439,540.56 and 205,473.84

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Solution

The fourth proportional to 318,614.64, 439,540.56 and 205,473.84 is: 283,458.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,614.64 : 439,540.56 = 205,473.84 : x
  2. Step 2: Convert to fraction form
    318,614.64/439,540.56 = 205,473.84/x
  3. Step 3: Cross multiply
    318,614.64x = 439,540.56 × 205,473.84
  4. Step 4: Simplify right side
    318,614.64x = 90,314,086,698.95
  5. Step 5: Solve for x
    x = 90,314,086,698.95/318,614.64
  6. Step 6: Final answer
    x = 283,458.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.