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Finding the Fourth Proportional to 271,856.40, 407,842.96 and 105,644.40

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Solution

The fourth proportional to 271,856.40, 407,842.96 and 105,644.40 is: 158,489.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,856.40 : 407,842.96 = 105,644.40 : x
  2. Step 2: Convert to fraction form
    271,856.40/407,842.96 = 105,644.40/x
  3. Step 3: Cross multiply
    271,856.40x = 407,842.96 × 105,644.40
  4. Step 4: Simplify right side
    271,856.40x = 43,086,324,803.42
  5. Step 5: Solve for x
    x = 43,086,324,803.42/271,856.40
  6. Step 6: Final answer
    x = 158,489.28

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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.