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Finding the Fourth Proportional to 465,404.38, 642,296.73 and 274,454.98

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Solution

The fourth proportional to 465,404.38, 642,296.73 and 274,454.98 is: 378,770.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,404.38 : 642,296.73 = 274,454.98 : x
  2. Step 2: Convert to fraction form
    465,404.38/642,296.73 = 274,454.98/x
  3. Step 3: Cross multiply
    465,404.38x = 642,296.73 × 274,454.98
  4. Step 4: Simplify right side
    465,404.38x = 176,281,536,186.22
  5. Step 5: Solve for x
    x = 176,281,536,186.22/465,404.38
  6. Step 6: Final answer
    x = 378,770.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.