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Finding the Fourth Proportional to 442,279.53, 663,229.76 and 205,597.53

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Solution

The fourth proportional to 442,279.53, 663,229.76 and 205,597.53 is: 308,308.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,279.53 : 663,229.76 = 205,597.53 : x
  2. Step 2: Convert to fraction form
    442,279.53/663,229.76 = 205,597.53/x
  3. Step 3: Cross multiply
    442,279.53x = 663,229.76 × 205,597.53
  4. Step 4: Simplify right side
    442,279.53x = 136,358,399,450.51
  5. Step 5: Solve for x
    x = 136,358,399,450.51/442,279.53
  6. Step 6: Final answer
    x = 308,308.19

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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.