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Finding the Fourth Proportional to 306,381.21, 422,792.43 and 177,299.01

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Solution

The fourth proportional to 306,381.21, 422,792.43 and 177,299.01 is: 244,664.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,381.21 : 422,792.43 = 177,299.01 : x
  2. Step 2: Convert to fraction form
    306,381.21/422,792.43 = 177,299.01/x
  3. Step 3: Cross multiply
    306,381.21x = 422,792.43 × 177,299.01
  4. Step 4: Simplify right side
    306,381.21x = 74,960,679,274.49
  5. Step 5: Solve for x
    x = 74,960,679,274.49/306,381.21
  6. Step 6: Final answer
    x = 244,664.74

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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.