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Finding the Fourth Proportional to 284,993.40, 427,490.10 and 74,652.60

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Solution

The fourth proportional to 284,993.40, 427,490.10 and 74,652.60 is: 111,978.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,993.40 : 427,490.10 = 74,652.60 : x
  2. Step 2: Convert to fraction form
    284,993.40/427,490.10 = 74,652.60/x
  3. Step 3: Cross multiply
    284,993.40x = 427,490.10 × 74,652.60
  4. Step 4: Simplify right side
    284,993.40x = 31,913,247,439.26
  5. Step 5: Solve for x
    x = 31,913,247,439.26/284,993.40
  6. Step 6: Final answer
    x = 111,978.90

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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.