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Finding the Fourth Proportional to 399,226.80, 597,965.40 and 212,019.60

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Solution

The fourth proportional to 399,226.80, 597,965.40 and 212,019.60 is: 317,564.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,226.80 : 597,965.40 = 212,019.60 : x
  2. Step 2: Convert to fraction form
    399,226.80/597,965.40 = 212,019.60/x
  3. Step 3: Cross multiply
    399,226.80x = 597,965.40 × 212,019.60
  4. Step 4: Simplify right side
    399,226.80x = 126,780,384,921.84
  5. Step 5: Solve for x
    x = 126,780,384,921.84/399,226.80
  6. Step 6: Final answer
    x = 317,564.82

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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.