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Finding the Fourth Proportional to 387,225.20, 580,837.80 and 254,514.80

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Solution

The fourth proportional to 387,225.20, 580,837.80 and 254,514.80 is: 381,772.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,225.20 : 580,837.80 = 254,514.80 : x
  2. Step 2: Convert to fraction form
    387,225.20/580,837.80 = 254,514.80/x
  3. Step 3: Cross multiply
    387,225.20x = 580,837.80 × 254,514.80
  4. Step 4: Simplify right side
    387,225.20x = 147,831,816,499.44
  5. Step 5: Solve for x
    x = 147,831,816,499.44/387,225.20
  6. Step 6: Final answer
    x = 381,772.20

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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.