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Finding the Fourth Proportional to 456,996.34, 685,634.64 and 204,489.40

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Solution

The fourth proportional to 456,996.34, 685,634.64 and 204,489.40 is: 306,796.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,996.34 : 685,634.64 = 204,489.40 : x
  2. Step 2: Convert to fraction form
    456,996.34/685,634.64 = 204,489.40/x
  3. Step 3: Cross multiply
    456,996.34x = 685,634.64 × 204,489.40
  4. Step 4: Simplify right side
    456,996.34x = 140,205,016,152.82
  5. Step 5: Solve for x
    x = 140,205,016,152.82/456,996.34
  6. Step 6: Final answer
    x = 306,796.80

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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.