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Finding the Fourth Proportional to 308,232, 425,360.64 and 166,920

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Solution

The fourth proportional to 308,232, 425,360.64 and 166,920 is: 230,349.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,232 : 425,360.64 = 166,920 : x
  2. Step 2: Convert to fraction form
    308,232/425,360.64 = 166,920/x
  3. Step 3: Cross multiply
    308,232x = 425,360.64 × 166,920
  4. Step 4: Simplify right side
    308,232x = 71,001,198,028.80
  5. Step 5: Solve for x
    x = 71,001,198,028.80/308,232
  6. Step 6: Final answer
    x = 230,349.86

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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.