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Finding the Fourth Proportional to 284,993.60, 427,490.40 and 274,107.20

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Solution

The fourth proportional to 284,993.60, 427,490.40 and 274,107.20 is: 411,160.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,993.60 : 427,490.40 = 274,107.20 : x
  2. Step 2: Convert to fraction form
    284,993.60/427,490.40 = 274,107.20/x
  3. Step 3: Cross multiply
    284,993.60x = 427,490.40 × 274,107.20
  4. Step 4: Simplify right side
    284,993.60x = 117,178,196,570.88
  5. Step 5: Solve for x
    x = 117,178,196,570.88/284,993.60
  6. Step 6: Final answer
    x = 411,160.80

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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.