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Finding the Fourth Proportional to 315,268.52, 472,815.22 and 87,511.78

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Solution

The fourth proportional to 315,268.52, 472,815.22 and 87,511.78 is: 131,243.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,268.52 : 472,815.22 = 87,511.78 : x
  2. Step 2: Convert to fraction form
    315,268.52/472,815.22 = 87,511.78/x
  3. Step 3: Cross multiply
    315,268.52x = 472,815.22 × 87,511.78
  4. Step 4: Simplify right side
    315,268.52x = 41,376,901,323.19
  5. Step 5: Solve for x
    x = 41,376,901,323.19/315,268.52
  6. Step 6: Final answer
    x = 131,243.36

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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.