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Finding the Fourth Proportional to 461,881.44, 637,443 and 280,611.54

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Solution

The fourth proportional to 461,881.44, 637,443 and 280,611.54 is: 387,272.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,881.44 : 637,443 = 280,611.54 : x
  2. Step 2: Convert to fraction form
    461,881.44/637,443 = 280,611.54/x
  3. Step 3: Cross multiply
    461,881.44x = 637,443 × 280,611.54
  4. Step 4: Simplify right side
    461,881.44x = 178,873,861,892.22
  5. Step 5: Solve for x
    x = 178,873,861,892.22/461,881.44
  6. Step 6: Final answer
    x = 387,272.24

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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.