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Finding the Fourth Proportional to 284,462.32, 426,715.56 and 84,767.44

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Solution

The fourth proportional to 284,462.32, 426,715.56 and 84,767.44 is: 127,157.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,462.32 : 426,715.56 = 84,767.44 : x
  2. Step 2: Convert to fraction form
    284,462.32/426,715.56 = 84,767.44/x
  3. Step 3: Cross multiply
    284,462.32x = 426,715.56 × 84,767.44
  4. Step 4: Simplify right side
    284,462.32x = 36,171,585,629.37
  5. Step 5: Solve for x
    x = 36,171,585,629.37/284,462.32
  6. Step 6: Final answer
    x = 127,157.74

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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.