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Finding the Fourth Proportional to 212,711.40, 319,067.10 and 205,494.30

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Solution

The fourth proportional to 212,711.40, 319,067.10 and 205,494.30 is: 308,241.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,711.40 : 319,067.10 = 205,494.30 : x
  2. Step 2: Convert to fraction form
    212,711.40/319,067.10 = 205,494.30/x
  3. Step 3: Cross multiply
    212,711.40x = 319,067.10 × 205,494.30
  4. Step 4: Simplify right side
    212,711.40x = 65,566,470,367.53
  5. Step 5: Solve for x
    x = 65,566,470,367.53/212,711.40
  6. Step 6: Final answer
    x = 308,241.45

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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.