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Finding the Fourth Proportional to 312,809.20, 431,678.91 and 169,571.50

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Solution

The fourth proportional to 312,809.20, 431,678.91 and 169,571.50 is: 234,009.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,809.20 : 431,678.91 = 169,571.50 : x
  2. Step 2: Convert to fraction form
    312,809.20/431,678.91 = 169,571.50/x
  3. Step 3: Cross multiply
    312,809.20x = 431,678.91 × 169,571.50
  4. Step 4: Simplify right side
    312,809.20x = 73,200,440,287.07
  5. Step 5: Solve for x
    x = 73,200,440,287.07/312,809.20
  6. Step 6: Final answer
    x = 234,009.87

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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.