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Finding the Fourth Proportional to 274,937.60, 379,438.32 and 160,210

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Solution

The fourth proportional to 274,937.60, 379,438.32 and 160,210 is: 221,104.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,937.60 : 379,438.32 = 160,210 : x
  2. Step 2: Convert to fraction form
    274,937.60/379,438.32 = 160,210/x
  3. Step 3: Cross multiply
    274,937.60x = 379,438.32 × 160,210
  4. Step 4: Simplify right side
    274,937.60x = 60,789,813,247.20
  5. Step 5: Solve for x
    x = 60,789,813,247.20/274,937.60
  6. Step 6: Final answer
    x = 221,104.04

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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.