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Finding the Fourth Proportional to 274,569.42, 378,639.64 and 214,118.01

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Solution

The fourth proportional to 274,569.42, 378,639.64 and 214,118.01 is: 295,275.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,569.42 : 378,639.64 = 214,118.01 : x
  2. Step 2: Convert to fraction form
    274,569.42/378,639.64 = 214,118.01/x
  3. Step 3: Cross multiply
    274,569.42x = 378,639.64 × 214,118.01
  4. Step 4: Simplify right side
    274,569.42x = 81,073,564,824.43
  5. Step 5: Solve for x
    x = 81,073,564,824.43/274,569.42
  6. Step 6: Final answer
    x = 295,275.29

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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.