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Finding the Fourth Proportional to 306,189.44, 422,593.74 and 197,263.16

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Solution

The fourth proportional to 306,189.44, 422,593.74 and 197,263.16 is: 272,256.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,189.44 : 422,593.74 = 197,263.16 : x
  2. Step 2: Convert to fraction form
    306,189.44/422,593.74 = 197,263.16/x
  3. Step 3: Cross multiply
    306,189.44x = 422,593.74 × 197,263.16
  4. Step 4: Simplify right side
    306,189.44x = 83,362,174,435.65
  5. Step 5: Solve for x
    x = 83,362,174,435.65/306,189.44
  6. Step 6: Final answer
    x = 272,256.86

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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.