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Finding the Fourth Proportional to 330,393.40, 455,689.20 and 222,793

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Solution

The fourth proportional to 330,393.40, 455,689.20 and 222,793 is: 307,283.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,393.40 : 455,689.20 = 222,793 : x
  2. Step 2: Convert to fraction form
    330,393.40/455,689.20 = 222,793/x
  3. Step 3: Cross multiply
    330,393.40x = 455,689.20 × 222,793
  4. Step 4: Simplify right side
    330,393.40x = 101,524,363,935.60
  5. Step 5: Solve for x
    x = 101,524,363,935.60/330,393.40
  6. Step 6: Final answer
    x = 307,283.27

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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.