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Finding the Fourth Proportional to 274,656.50, 378,994.06 and 159,960.22

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Solution

The fourth proportional to 274,656.50, 378,994.06 and 159,960.22 is: 220,726.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,656.50 : 378,994.06 = 159,960.22 : x
  2. Step 2: Convert to fraction form
    274,656.50/378,994.06 = 159,960.22/x
  3. Step 3: Cross multiply
    274,656.50x = 378,994.06 × 159,960.22
  4. Step 4: Simplify right side
    274,656.50x = 60,623,973,216.29
  5. Step 5: Solve for x
    x = 60,623,973,216.29/274,656.50
  6. Step 6: Final answer
    x = 220,726.52

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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.