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Finding the Fourth Proportional to 264,640.46, 396,967.17 and 77,657.90

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Solution

The fourth proportional to 264,640.46, 396,967.17 and 77,657.90 is: 116,488.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,640.46 : 396,967.17 = 77,657.90 : x
  2. Step 2: Convert to fraction form
    264,640.46/396,967.17 = 77,657.90/x
  3. Step 3: Cross multiply
    264,640.46x = 396,967.17 × 77,657.90
  4. Step 4: Simplify right side
    264,640.46x = 30,827,636,791.14
  5. Step 5: Solve for x
    x = 30,827,636,791.14/264,640.46
  6. Step 6: Final answer
    x = 116,488.75

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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.