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Finding the Fourth Proportional to 310,213.92, 465,323.30 and 169,896

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Solution

The fourth proportional to 310,213.92, 465,323.30 and 169,896 is: 254,845.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,213.92 : 465,323.30 = 169,896 : x
  2. Step 2: Convert to fraction form
    310,213.92/465,323.30 = 169,896/x
  3. Step 3: Cross multiply
    310,213.92x = 465,323.30 × 169,896
  4. Step 4: Simplify right side
    310,213.92x = 79,056,567,376.80
  5. Step 5: Solve for x
    x = 79,056,567,376.80/310,213.92
  6. Step 6: Final answer
    x = 254,845.33

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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.