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Finding the Fourth Proportional to 219,286.59, 328,941.54 and 69,538.69

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Solution

The fourth proportional to 219,286.59, 328,941.54 and 69,538.69 is: 104,311.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,286.59 : 328,941.54 = 69,538.69 : x
  2. Step 2: Convert to fraction form
    219,286.59/328,941.54 = 69,538.69/x
  3. Step 3: Cross multiply
    219,286.59x = 328,941.54 × 69,538.69
  4. Step 4: Simplify right side
    219,286.59x = 22,874,163,778.18
  5. Step 5: Solve for x
    x = 22,874,163,778.18/219,286.59
  6. Step 6: Final answer
    x = 104,311.73

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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.