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Finding the Fourth Proportional to 808,687.62, 1,213,778.43 and 409,608.65

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Solution

The fourth proportional to 808,687.62, 1,213,778.43 and 409,608.65 is: 614,791.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,687.62 : 1,213,778.43 = 409,608.65 : x
  2. Step 2: Convert to fraction form
    808,687.62/1,213,778.43 = 409,608.65/x
  3. Step 3: Cross multiply
    808,687.62x = 1,213,778.43 × 409,608.65
  4. Step 4: Simplify right side
    808,687.62x = 497,174,144,111.42
  5. Step 5: Solve for x
    x = 497,174,144,111.42/808,687.62
  6. Step 6: Final answer
    x = 614,791.34

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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.