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Finding the Fourth Proportional to 257,238.96, 385,858.58 and 107,397.56

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Solution

The fourth proportional to 257,238.96, 385,858.58 and 107,397.56 is: 161,096.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,238.96 : 385,858.58 = 107,397.56 : x
  2. Step 2: Convert to fraction form
    257,238.96/385,858.58 = 107,397.56/x
  3. Step 3: Cross multiply
    257,238.96x = 385,858.58 × 107,397.56
  4. Step 4: Simplify right side
    257,238.96x = 41,440,269,997.06
  5. Step 5: Solve for x
    x = 41,440,269,997.06/257,238.96
  6. Step 6: Final answer
    x = 161,096.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.