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Finding the Fourth Proportional to 436,234.80, 654,546.60 and 199,455.60

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Solution

The fourth proportional to 436,234.80, 654,546.60 and 199,455.60 is: 299,272.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,234.80 : 654,546.60 = 199,455.60 : x
  2. Step 2: Convert to fraction form
    436,234.80/654,546.60 = 199,455.60/x
  3. Step 3: Cross multiply
    436,234.80x = 654,546.60 × 199,455.60
  4. Step 4: Simplify right side
    436,234.80x = 130,552,984,830.96
  5. Step 5: Solve for x
    x = 130,552,984,830.96/436,234.80
  6. Step 6: Final answer
    x = 299,272.28

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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.