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Finding the Fourth Proportional to 285,216.44, 393,639.84 and 164,334.56

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Solution

The fourth proportional to 285,216.44, 393,639.84 and 164,334.56 is: 226,805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,216.44 : 393,639.84 = 164,334.56 : x
  2. Step 2: Convert to fraction form
    285,216.44/393,639.84 = 164,334.56/x
  3. Step 3: Cross multiply
    285,216.44x = 393,639.84 × 164,334.56
  4. Step 4: Simplify right side
    285,216.44x = 64,688,629,904.87
  5. Step 5: Solve for x
    x = 64,688,629,904.87/285,216.44
  6. Step 6: Final answer
    x = 226,805.40

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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.