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Finding the Fourth Proportional to 319,705.55, 441,165.71 and 204,781.44

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Solution

The fourth proportional to 319,705.55, 441,165.71 and 204,781.44 is: 282,580.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,705.55 : 441,165.71 = 204,781.44 : x
  2. Step 2: Convert to fraction form
    319,705.55/441,165.71 = 204,781.44/x
  3. Step 3: Cross multiply
    319,705.55x = 441,165.71 × 204,781.44
  4. Step 4: Simplify right side
    319,705.55x = 90,342,548,348.52
  5. Step 5: Solve for x
    x = 90,342,548,348.52/319,705.55
  6. Step 6: Final answer
    x = 282,580.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.