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Finding the Fourth Proportional to 274,644.33, 378,965.32 and 153,790.71

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Solution

The fourth proportional to 274,644.33, 378,965.32 and 153,790.71 is: 212,206.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,644.33 : 378,965.32 = 153,790.71 : x
  2. Step 2: Convert to fraction form
    274,644.33/378,965.32 = 153,790.71/x
  3. Step 3: Cross multiply
    274,644.33x = 378,965.32 × 153,790.71
  4. Step 4: Simplify right side
    274,644.33x = 58,281,345,628.18
  5. Step 5: Solve for x
    x = 58,281,345,628.18/274,644.33
  6. Step 6: Final answer
    x = 212,206.62

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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.