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Finding the Fourth Proportional to 284,824.80, 427,490.64 and 151,814.88

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Solution

The fourth proportional to 284,824.80, 427,490.64 and 151,814.88 is: 227,857.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,824.80 : 427,490.64 = 151,814.88 : x
  2. Step 2: Convert to fraction form
    284,824.80/427,490.64 = 151,814.88/x
  3. Step 3: Cross multiply
    284,824.80x = 427,490.64 × 151,814.88
  4. Step 4: Simplify right side
    284,824.80x = 64,899,440,212.72
  5. Step 5: Solve for x
    x = 64,899,440,212.72/284,824.80
  6. Step 6: Final answer
    x = 227,857.41

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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.