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Finding the Fourth Proportional to 312,640.25, 431,443.92 and 169,400.18

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Solution

The fourth proportional to 312,640.25, 431,443.92 and 169,400.18 is: 233,772.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,640.25 : 431,443.92 = 169,400.18 : x
  2. Step 2: Convert to fraction form
    312,640.25/431,443.92 = 169,400.18/x
  3. Step 3: Cross multiply
    312,640.25x = 431,443.92 × 169,400.18
  4. Step 4: Simplify right side
    312,640.25x = 73,086,675,550.69
  5. Step 5: Solve for x
    x = 73,086,675,550.69/312,640.25
  6. Step 6: Final answer
    x = 233,772.45

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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.