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Finding the Fourth Proportional to 511,899.84, 768,516.48 and 344,171.52

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Solution

The fourth proportional to 511,899.84, 768,516.48 and 344,171.52 is: 516,705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,899.84 : 768,516.48 = 344,171.52 : x
  2. Step 2: Convert to fraction form
    511,899.84/768,516.48 = 344,171.52/x
  3. Step 3: Cross multiply
    511,899.84x = 768,516.48 × 344,171.52
  4. Step 4: Simplify right side
    511,899.84x = 264,501,485,066.65
  5. Step 5: Solve for x
    x = 264,501,485,066.65/511,899.84
  6. Step 6: Final answer
    x = 516,705.54

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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.