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Finding the Fourth Proportional to 667,706.20, 921,433.24 and 361,790.85

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Solution

The fourth proportional to 667,706.20, 921,433.24 and 361,790.85 is: 499,270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,706.20 : 921,433.24 = 361,790.85 : x
  2. Step 2: Convert to fraction form
    667,706.20/921,433.24 = 361,790.85/x
  3. Step 3: Cross multiply
    667,706.20x = 921,433.24 × 361,790.85
  4. Step 4: Simplify right side
    667,706.20x = 333,366,115,117.85
  5. Step 5: Solve for x
    x = 333,366,115,117.85/667,706.20
  6. Step 6: Final answer
    x = 499,270.66

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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.