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Finding the Fourth Proportional to 271,434.78, 407,287.98 and 121,782.02

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Solution

The fourth proportional to 271,434.78, 407,287.98 and 121,782.02 is: 182,733.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,434.78 : 407,287.98 = 121,782.02 : x
  2. Step 2: Convert to fraction form
    271,434.78/407,287.98 = 121,782.02/x
  3. Step 3: Cross multiply
    271,434.78x = 407,287.98 × 121,782.02
  4. Step 4: Simplify right side
    271,434.78x = 49,600,350,889.68
  5. Step 5: Solve for x
    x = 49,600,350,889.68/271,434.78
  6. Step 6: Final answer
    x = 182,733.96

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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.