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Finding the Fourth Proportional to 442,642.70, 663,172.05 and 269,218.70

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Solution

The fourth proportional to 442,642.70, 663,172.05 and 269,218.70 is: 403,346.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,642.70 : 663,172.05 = 269,218.70 : x
  2. Step 2: Convert to fraction form
    442,642.70/663,172.05 = 269,218.70/x
  3. Step 3: Cross multiply
    442,642.70x = 663,172.05 × 269,218.70
  4. Step 4: Simplify right side
    442,642.70x = 178,538,317,177.34
  5. Step 5: Solve for x
    x = 178,538,317,177.34/442,642.70
  6. Step 6: Final answer
    x = 403,346.35

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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.