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Finding the Fourth Proportional to 331,070.91, 496,602.81 and 219,251.40

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Solution

The fourth proportional to 331,070.91, 496,602.81 and 219,251.40 is: 328,874.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,070.91 : 496,602.81 = 219,251.40 : x
  2. Step 2: Convert to fraction form
    331,070.91/496,602.81 = 219,251.40/x
  3. Step 3: Cross multiply
    331,070.91x = 496,602.81 × 219,251.40
  4. Step 4: Simplify right side
    331,070.91x = 108,880,861,336.43
  5. Step 5: Solve for x
    x = 108,880,861,336.43/331,070.91
  6. Step 6: Final answer
    x = 328,874.75

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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.