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Finding the Fourth Proportional to 274,362.20, 378,598.24 and 153,494

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Solution

The fourth proportional to 274,362.20, 378,598.24 and 153,494 is: 211,809.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,362.20 : 378,598.24 = 153,494 : x
  2. Step 2: Convert to fraction form
    274,362.20/378,598.24 = 153,494/x
  3. Step 3: Cross multiply
    274,362.20x = 378,598.24 × 153,494
  4. Step 4: Simplify right side
    274,362.20x = 58,112,558,250.56
  5. Step 5: Solve for x
    x = 58,112,558,250.56/274,362.20
  6. Step 6: Final answer
    x = 211,809.64

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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.