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Finding the Fourth Proportional to 404,470.20, 606,705.30 and 205,404.60

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Solution

The fourth proportional to 404,470.20, 606,705.30 and 205,404.60 is: 308,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,470.20 : 606,705.30 = 205,404.60 : x
  2. Step 2: Convert to fraction form
    404,470.20/606,705.30 = 205,404.60/x
  3. Step 3: Cross multiply
    404,470.20x = 606,705.30 × 205,404.60
  4. Step 4: Simplify right side
    404,470.20x = 124,620,059,464.38
  5. Step 5: Solve for x
    x = 124,620,059,464.38/404,470.20
  6. Step 6: Final answer
    x = 308,106.90

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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.