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Finding the Fourth Proportional to 399,523.76, 551,338.96 and 218,235.60

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Solution

The fourth proportional to 399,523.76, 551,338.96 and 218,235.60 is: 301,163.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,523.76 : 551,338.96 = 218,235.60 : x
  2. Step 2: Convert to fraction form
    399,523.76/551,338.96 = 218,235.60/x
  3. Step 3: Cross multiply
    399,523.76x = 551,338.96 × 218,235.60
  4. Step 4: Simplify right side
    399,523.76x = 120,321,788,738.98
  5. Step 5: Solve for x
    x = 120,321,788,738.98/399,523.76
  6. Step 6: Final answer
    x = 301,163.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.