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Finding the Fourth Proportional to 253,618.56, 350,004.15 and 140,441.31

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Solution

The fourth proportional to 253,618.56, 350,004.15 and 140,441.31 is: 193,814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,618.56 : 350,004.15 = 140,441.31 : x
  2. Step 2: Convert to fraction form
    253,618.56/350,004.15 = 140,441.31/x
  3. Step 3: Cross multiply
    253,618.56x = 350,004.15 × 140,441.31
  4. Step 4: Simplify right side
    253,618.56x = 49,155,041,331.44
  5. Step 5: Solve for x
    x = 49,155,041,331.44/253,618.56
  6. Step 6: Final answer
    x = 193,814.84

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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.