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Finding the Fourth Proportional to 284,716.62, 427,069.53 and 85,037.58

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Solution

The fourth proportional to 284,716.62, 427,069.53 and 85,037.58 is: 127,554.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,716.62 : 427,069.53 = 85,037.58 : x
  2. Step 2: Convert to fraction form
    284,716.62/427,069.53 = 85,037.58/x
  3. Step 3: Cross multiply
    284,716.62x = 427,069.53 × 85,037.58
  4. Step 4: Simplify right side
    284,716.62x = 36,316,959,322.94
  5. Step 5: Solve for x
    x = 36,316,959,322.94/284,716.62
  6. Step 6: Final answer
    x = 127,554.76

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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.