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Finding the Fourth Proportional to 284,843.40, 427,232.70 and 74,502.60

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Solution

The fourth proportional to 284,843.40, 427,232.70 and 74,502.60 is: 111,745.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,843.40 : 427,232.70 = 74,502.60 : x
  2. Step 2: Convert to fraction form
    284,843.40/427,232.70 = 74,502.60/x
  3. Step 3: Cross multiply
    284,843.40x = 427,232.70 × 74,502.60
  4. Step 4: Simplify right side
    284,843.40x = 31,829,946,955.02
  5. Step 5: Solve for x
    x = 31,829,946,955.02/284,843.40
  6. Step 6: Final answer
    x = 111,745.43

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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.