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Finding the Fourth Proportional to 312,735.78, 431,573.67 and 169,494.30

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Solution

The fourth proportional to 312,735.78, 431,573.67 and 169,494.30 is: 233,901.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,735.78 : 431,573.67 = 169,494.30 : x
  2. Step 2: Convert to fraction form
    312,735.78/431,573.67 = 169,494.30/x
  3. Step 3: Cross multiply
    312,735.78x = 431,573.67 × 169,494.30
  4. Step 4: Simplify right side
    312,735.78x = 73,149,277,095.08
  5. Step 5: Solve for x
    x = 73,149,277,095.08/312,735.78
  6. Step 6: Final answer
    x = 233,901.21

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1.5x scale

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.