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Finding the Fourth Proportional to 284,754.84, 393,043.68 and 188,029.32

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Solution

The fourth proportional to 284,754.84, 393,043.68 and 188,029.32 is: 259,534.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,754.84 : 393,043.68 = 188,029.32 : x
  2. Step 2: Convert to fraction form
    284,754.84/393,043.68 = 188,029.32/x
  3. Step 3: Cross multiply
    284,754.84x = 393,043.68 × 188,029.32
  4. Step 4: Simplify right side
    284,754.84x = 73,903,735,880.70
  5. Step 5: Solve for x
    x = 73,903,735,880.70/284,754.84
  6. Step 6: Final answer
    x = 259,534.61

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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.