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Finding the Fourth Proportional to 643,670.80, 965,851.80 and 269,731.60

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Solution

The fourth proportional to 643,670.80, 965,851.80 and 269,731.60 is: 404,742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,670.80 : 965,851.80 = 269,731.60 : x
  2. Step 2: Convert to fraction form
    643,670.80/965,851.80 = 269,731.60/x
  3. Step 3: Cross multiply
    643,670.80x = 965,851.80 × 269,731.60
  4. Step 4: Simplify right side
    643,670.80x = 260,520,751,376.88
  5. Step 5: Solve for x
    x = 260,520,751,376.88/643,670.80
  6. Step 6: Final answer
    x = 404,742.22

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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.