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Finding the Fourth Proportional to 654,940.71, 982,370.97 and 385,218

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Solution

The fourth proportional to 654,940.71, 982,370.97 and 385,218 is: 577,803.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,940.71 : 982,370.97 = 385,218 : x
  2. Step 2: Convert to fraction form
    654,940.71/982,370.97 = 385,218/x
  3. Step 3: Cross multiply
    654,940.71x = 982,370.97 × 385,218
  4. Step 4: Simplify right side
    654,940.71x = 378,426,980,321.46
  5. Step 5: Solve for x
    x = 378,426,980,321.46/654,940.71
  6. Step 6: Final answer
    x = 577,803.42

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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.