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Finding the Fourth Proportional to 408,272.90, 563,691.57 and 365,118.26

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Solution

The fourth proportional to 408,272.90, 563,691.57 and 365,118.26 is: 504,109.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,272.90 : 563,691.57 = 365,118.26 : x
  2. Step 2: Convert to fraction form
    408,272.90/563,691.57 = 365,118.26/x
  3. Step 3: Cross multiply
    408,272.90x = 563,691.57 × 365,118.26
  4. Step 4: Simplify right side
    408,272.90x = 205,814,085,215.07
  5. Step 5: Solve for x
    x = 205,814,085,215.07/408,272.90
  6. Step 6: Final answer
    x = 504,109.10

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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.