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Finding the Fourth Proportional to 256,714.11, 385,122.48 and 79,214.43

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Solution

The fourth proportional to 256,714.11, 385,122.48 and 79,214.43 is: 118,837.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,714.11 : 385,122.48 = 79,214.43 : x
  2. Step 2: Convert to fraction form
    256,714.11/385,122.48 = 79,214.43/x
  3. Step 3: Cross multiply
    256,714.11x = 385,122.48 × 79,214.43
  4. Step 4: Simplify right side
    256,714.11x = 30,507,257,733.39
  5. Step 5: Solve for x
    x = 30,507,257,733.39/256,714.11
  6. Step 6: Final answer
    x = 118,837.48

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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.