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Finding the Fourth Proportional to 284,784.03, 427,840.38 and 166,538.61

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Solution

The fourth proportional to 284,784.03, 427,840.38 and 166,538.61 is: 250,196.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,784.03 : 427,840.38 = 166,538.61 : x
  2. Step 2: Convert to fraction form
    284,784.03/427,840.38 = 166,538.61/x
  3. Step 3: Cross multiply
    284,784.03x = 427,840.38 × 166,538.61
  4. Step 4: Simplify right side
    284,784.03x = 71,251,942,187.07
  5. Step 5: Solve for x
    x = 71,251,942,187.07/284,784.03
  6. Step 6: Final answer
    x = 250,196.41

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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.