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Finding the Fourth Proportional to 306,202.48, 422,568.60 and 168,374.28

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Solution

The fourth proportional to 306,202.48, 422,568.60 and 168,374.28 is: 232,361.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,202.48 : 422,568.60 = 168,374.28 : x
  2. Step 2: Convert to fraction form
    306,202.48/422,568.60 = 168,374.28/x
  3. Step 3: Cross multiply
    306,202.48x = 422,568.60 × 168,374.28
  4. Step 4: Simplify right side
    306,202.48x = 71,149,683,775.61
  5. Step 5: Solve for x
    x = 71,149,683,775.61/306,202.48
  6. Step 6: Final answer
    x = 232,361.55

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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.