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Finding the Fourth Proportional to 519,454.89, 779,661.31 and 263,467.09

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Solution

The fourth proportional to 519,454.89, 779,661.31 and 263,467.09 is: 395,443.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,454.89 : 779,661.31 = 263,467.09 : x
  2. Step 2: Convert to fraction form
    519,454.89/779,661.31 = 263,467.09/x
  3. Step 3: Cross multiply
    519,454.89x = 779,661.31 × 263,467.09
  4. Step 4: Simplify right side
    519,454.89x = 205,415,096,531.29
  5. Step 5: Solve for x
    x = 205,415,096,531.29/519,454.89
  6. Step 6: Final answer
    x = 395,443.57

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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.