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Finding the Fourth Proportional to 284,872.78, 393,108.54 and 155,785.78

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Solution

The fourth proportional to 284,872.78, 393,108.54 and 155,785.78 is: 214,975.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,872.78 : 393,108.54 = 155,785.78 : x
  2. Step 2: Convert to fraction form
    284,872.78/393,108.54 = 155,785.78/x
  3. Step 3: Cross multiply
    284,872.78x = 393,108.54 × 155,785.78
  4. Step 4: Simplify right side
    284,872.78x = 61,240,720,528.56
  5. Step 5: Solve for x
    x = 61,240,720,528.56/284,872.78
  6. Step 6: Final answer
    x = 214,975.68

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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.