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Finding the Fourth Proportional to 526,796.87, 726,984.80 and 285,084.46

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Solution

The fourth proportional to 526,796.87, 726,984.80 and 285,084.46 is: 393,419.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,796.87 : 726,984.80 = 285,084.46 : x
  2. Step 2: Convert to fraction form
    526,796.87/726,984.80 = 285,084.46/x
  3. Step 3: Cross multiply
    526,796.87x = 726,984.80 × 285,084.46
  4. Step 4: Simplify right side
    526,796.87x = 207,252,069,136.21
  5. Step 5: Solve for x
    x = 207,252,069,136.21/526,796.87
  6. Step 6: Final answer
    x = 393,419.33

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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.