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Finding the Fourth Proportional to 526,796.24, 726,978.81 and 285,078.80

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Solution

The fourth proportional to 526,796.24, 726,978.81 and 285,078.80 is: 393,408.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,796.24 : 726,978.81 = 285,078.80 : x
  2. Step 2: Convert to fraction form
    526,796.24/726,978.81 = 285,078.80/x
  3. Step 3: Cross multiply
    526,796.24x = 726,978.81 × 285,078.80
  4. Step 4: Simplify right side
    526,796.24x = 207,246,243,145.33
  5. Step 5: Solve for x
    x = 207,246,243,145.33/526,796.24
  6. Step 6: Final answer
    x = 393,408.74

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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.