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Finding the Fourth Proportional to 521,713.94, 782,837.79 and 248,469.47

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Solution

The fourth proportional to 521,713.94, 782,837.79 and 248,469.47 is: 372,831.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,713.94 : 782,837.79 = 248,469.47 : x
  2. Step 2: Convert to fraction form
    521,713.94/782,837.79 = 248,469.47/x
  3. Step 3: Cross multiply
    521,713.94x = 782,837.79 × 248,469.47
  4. Step 4: Simplify right side
    521,713.94x = 194,511,293,969.25
  5. Step 5: Solve for x
    x = 194,511,293,969.25/521,713.94
  6. Step 6: Final answer
    x = 372,831.32

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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.