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Finding the Fourth Proportional to 274,125, 378,292.50 and 154,893

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Solution

The fourth proportional to 274,125, 378,292.50 and 154,893 is: 213,752.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,125 : 378,292.50 = 154,893 : x
  2. Step 2: Convert to fraction form
    274,125/378,292.50 = 154,893/x
  3. Step 3: Cross multiply
    274,125x = 378,292.50 × 154,893
  4. Step 4: Simplify right side
    274,125x = 58,594,860,202.50
  5. Step 5: Solve for x
    x = 58,594,860,202.50/274,125
  6. Step 6: Final answer
    x = 213,752.34

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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.