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Finding the Fourth Proportional to 284,815.40, 427,247.40 and 74,453

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Solution

The fourth proportional to 284,815.40, 427,247.40 and 74,453 is: 111,685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,815.40 : 427,247.40 = 74,453 : x
  2. Step 2: Convert to fraction form
    284,815.40/427,247.40 = 74,453/x
  3. Step 3: Cross multiply
    284,815.40x = 427,247.40 × 74,453
  4. Step 4: Simplify right side
    284,815.40x = 31,809,850,672.20
  5. Step 5: Solve for x
    x = 31,809,850,672.20/284,815.40
  6. Step 6: Final answer
    x = 111,685.85

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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.