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Finding the Fourth Proportional to 526,611.78, 726,720.15 and 284,893.61

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Solution

The fourth proportional to 526,611.78, 726,720.15 and 284,893.61 is: 393,150.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,611.78 : 726,720.15 = 284,893.61 : x
  2. Step 2: Convert to fraction form
    526,611.78/726,720.15 = 284,893.61/x
  3. Step 3: Cross multiply
    526,611.78x = 726,720.15 × 284,893.61
  4. Step 4: Simplify right side
    526,611.78x = 207,037,924,427.99
  5. Step 5: Solve for x
    x = 207,037,924,427.99/526,611.78
  6. Step 6: Final answer
    x = 393,150.96

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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.