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Finding the Fourth Proportional to 433,244.56, 649,878 and 205,486.96

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Solution

The fourth proportional to 433,244.56, 649,878 and 205,486.96 is: 308,235.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,244.56 : 649,878 = 205,486.96 : x
  2. Step 2: Convert to fraction form
    433,244.56/649,878 = 205,486.96/x
  3. Step 3: Cross multiply
    433,244.56x = 649,878 × 205,486.96
  4. Step 4: Simplify right side
    433,244.56x = 133,541,454,590.88
  5. Step 5: Solve for x
    x = 133,541,454,590.88/433,244.56
  6. Step 6: Final answer
    x = 308,235.73

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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.