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Finding the Fourth Proportional to 442,606.80, 664,104.60 and 205,827.60

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Solution

The fourth proportional to 442,606.80, 664,104.60 and 205,827.60 is: 308,831.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,606.80 : 664,104.60 = 205,827.60 : x
  2. Step 2: Convert to fraction form
    442,606.80/664,104.60 = 205,827.60/x
  3. Step 3: Cross multiply
    442,606.80x = 664,104.60 × 205,827.60
  4. Step 4: Simplify right side
    442,606.80x = 136,691,055,966.96
  5. Step 5: Solve for x
    x = 136,691,055,966.96/442,606.80
  6. Step 6: Final answer
    x = 308,831.80

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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.