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Finding the Fourth Proportional to 405,479.43, 608,469.30 and 205,943.04

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Solution

The fourth proportional to 405,479.43, 608,469.30 and 205,943.04 is: 309,041.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,479.43 : 608,469.30 = 205,943.04 : x
  2. Step 2: Convert to fraction form
    405,479.43/608,469.30 = 205,943.04/x
  3. Step 3: Cross multiply
    405,479.43x = 608,469.30 × 205,943.04
  4. Step 4: Simplify right side
    405,479.43x = 125,310,017,388.67
  5. Step 5: Solve for x
    x = 125,310,017,388.67/405,479.43
  6. Step 6: Final answer
    x = 309,041.61

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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.