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Finding the Fourth Proportional to 612,766.49, 919,174.46 and 213,447.65

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Solution

The fourth proportional to 612,766.49, 919,174.46 and 213,447.65 is: 320,180.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,766.49 : 919,174.46 = 213,447.65 : x
  2. Step 2: Convert to fraction form
    612,766.49/919,174.46 = 213,447.65/x
  3. Step 3: Cross multiply
    612,766.49x = 919,174.46 × 213,447.65
  4. Step 4: Simplify right side
    612,766.49x = 196,195,622,763.91
  5. Step 5: Solve for x
    x = 196,195,622,763.91/612,766.49
  6. Step 6: Final answer
    x = 320,180.08

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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.