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Finding the Fourth Proportional to 275,436, 413,223.12 and 78,444

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Solution

The fourth proportional to 275,436, 413,223.12 and 78,444 is: 117,685.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,436 : 413,223.12 = 78,444 : x
  2. Step 2: Convert to fraction form
    275,436/413,223.12 = 78,444/x
  3. Step 3: Cross multiply
    275,436x = 413,223.12 × 78,444
  4. Step 4: Simplify right side
    275,436x = 32,414,874,425.28
  5. Step 5: Solve for x
    x = 32,414,874,425.28/275,436
  6. Step 6: Final answer
    x = 117,685.69

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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.