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Finding the Fourth Proportional to 284,963.76, 427,934.66 and 253,015.04

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Solution

The fourth proportional to 284,963.76, 427,934.66 and 253,015.04 is: 379,956.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,963.76 : 427,934.66 = 253,015.04 : x
  2. Step 2: Convert to fraction form
    284,963.76/427,934.66 = 253,015.04/x
  3. Step 3: Cross multiply
    284,963.76x = 427,934.66 × 253,015.04
  4. Step 4: Simplify right side
    284,963.76x = 108,273,901,712.54
  5. Step 5: Solve for x
    x = 108,273,901,712.54/284,963.76
  6. Step 6: Final answer
    x = 379,956.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.