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Finding the Fourth Proportional to 310,912.18, 429,020.66 and 196,147.54

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Solution

The fourth proportional to 310,912.18, 429,020.66 and 196,147.54 is: 270,659.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,912.18 : 429,020.66 = 196,147.54 : x
  2. Step 2: Convert to fraction form
    310,912.18/429,020.66 = 196,147.54/x
  3. Step 3: Cross multiply
    310,912.18x = 429,020.66 × 196,147.54
  4. Step 4: Simplify right side
    310,912.18x = 84,151,347,068.18
  5. Step 5: Solve for x
    x = 84,151,347,068.18/310,912.18
  6. Step 6: Final answer
    x = 270,659.54

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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.