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Finding the Fourth Proportional to 204,634.40, 306,985.20 and 64,359.20

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Solution

The fourth proportional to 204,634.40, 306,985.20 and 64,359.20 is: 96,549.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,634.40 : 306,985.20 = 64,359.20 : x
  2. Step 2: Convert to fraction form
    204,634.40/306,985.20 = 64,359.20/x
  3. Step 3: Cross multiply
    204,634.40x = 306,985.20 × 64,359.20
  4. Step 4: Simplify right side
    204,634.40x = 19,757,321,883.84
  5. Step 5: Solve for x
    x = 19,757,321,883.84/204,634.40
  6. Step 6: Final answer
    x = 96,549.37

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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.