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Finding the Fourth Proportional to 315,290.52, 472,795.38 and 115,558.20

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Solution

The fourth proportional to 315,290.52, 472,795.38 and 115,558.20 is: 173,285.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,290.52 : 472,795.38 = 115,558.20 : x
  2. Step 2: Convert to fraction form
    315,290.52/472,795.38 = 115,558.20/x
  3. Step 3: Cross multiply
    315,290.52x = 472,795.38 × 115,558.20
  4. Step 4: Simplify right side
    315,290.52x = 54,635,383,081.12
  5. Step 5: Solve for x
    x = 54,635,383,081.12/315,290.52
  6. Step 6: Final answer
    x = 173,285.84

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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.