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Finding the Fourth Proportional to 284,563.24, 426,844.86 and 74,200.60

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Solution

The fourth proportional to 284,563.24, 426,844.86 and 74,200.60 is: 111,300.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,563.24 : 426,844.86 = 74,200.60 : x
  2. Step 2: Convert to fraction form
    284,563.24/426,844.86 = 74,200.60/x
  3. Step 3: Cross multiply
    284,563.24x = 426,844.86 × 74,200.60
  4. Step 4: Simplify right side
    284,563.24x = 31,672,144,718.92
  5. Step 5: Solve for x
    x = 31,672,144,718.92/284,563.24
  6. Step 6: Final answer
    x = 111,300.90

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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.