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Finding the Fourth Proportional to 329,606.46, 493,844.58 and 221,332.86

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Solution

The fourth proportional to 329,606.46, 493,844.58 and 221,332.86 is: 331,619.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,606.46 : 493,844.58 = 221,332.86 : x
  2. Step 2: Convert to fraction form
    329,606.46/493,844.58 = 221,332.86/x
  3. Step 3: Cross multiply
    329,606.46x = 493,844.58 × 221,332.86
  4. Step 4: Simplify right side
    329,606.46x = 109,304,033,286.90
  5. Step 5: Solve for x
    x = 109,304,033,286.90/329,606.46
  6. Step 6: Final answer
    x = 331,619.81

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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.