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Finding the Fourth Proportional to 306,219.29, 422,435.39 and 198,823.01

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Solution

The fourth proportional to 306,219.29, 422,435.39 and 198,823.01 is: 274,280.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,219.29 : 422,435.39 = 198,823.01 : x
  2. Step 2: Convert to fraction form
    306,219.29/422,435.39 = 198,823.01/x
  3. Step 3: Cross multiply
    306,219.29x = 422,435.39 × 198,823.01
  4. Step 4: Simplify right side
    306,219.29x = 83,989,872,664.03
  5. Step 5: Solve for x
    x = 83,989,872,664.03/306,219.29
  6. Step 6: Final answer
    x = 274,280.15

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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.