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Finding the Fourth Proportional to 443,865, 665,965.20 and 266,495.76

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Solution

The fourth proportional to 443,865, 665,965.20 and 266,495.76 is: 399,844.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,865 : 665,965.20 = 266,495.76 : x
  2. Step 2: Convert to fraction form
    443,865/665,965.20 = 266,495.76/x
  3. Step 3: Cross multiply
    443,865x = 665,965.20 × 266,495.76
  4. Step 4: Simplify right side
    443,865x = 177,476,902,107.55
  5. Step 5: Solve for x
    x = 177,476,902,107.55/443,865
  6. Step 6: Final answer
    x = 399,844.33

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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.