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Finding the Fourth Proportional to 284,081.20, 426,121.80 and 143,821.60

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Solution

The fourth proportional to 284,081.20, 426,121.80 and 143,821.60 is: 215,732.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,081.20 : 426,121.80 = 143,821.60 : x
  2. Step 2: Convert to fraction form
    284,081.20/426,121.80 = 143,821.60/x
  3. Step 3: Cross multiply
    284,081.20x = 426,121.80 × 143,821.60
  4. Step 4: Simplify right side
    284,081.20x = 61,285,519,070.88
  5. Step 5: Solve for x
    x = 61,285,519,070.88/284,081.20
  6. Step 6: Final answer
    x = 215,732.40

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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.