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Finding the Fourth Proportional to 312,640.91, 431,449.41 and 174,835.30

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Solution

The fourth proportional to 312,640.91, 431,449.41 and 174,835.30 is: 241,275.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,640.91 : 431,449.41 = 174,835.30 : x
  2. Step 2: Convert to fraction form
    312,640.91/431,449.41 = 174,835.30/x
  3. Step 3: Cross multiply
    312,640.91x = 431,449.41 × 174,835.30
  4. Step 4: Simplify right side
    312,640.91x = 75,432,587,032.17
  5. Step 5: Solve for x
    x = 75,432,587,032.17/312,640.91
  6. Step 6: Final answer
    x = 241,275.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.