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Finding the Fourth Proportional to 256,819.20, 385,269.84 and 79,284.48

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Solution

The fourth proportional to 256,819.20, 385,269.84 and 79,284.48 is: 118,939.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,819.20 : 385,269.84 = 79,284.48 : x
  2. Step 2: Convert to fraction form
    256,819.20/385,269.84 = 79,284.48/x
  3. Step 3: Cross multiply
    256,819.20x = 385,269.84 × 79,284.48
  4. Step 4: Simplify right side
    256,819.20x = 30,545,918,924.08
  5. Step 5: Solve for x
    x = 30,545,918,924.08/256,819.20
  6. Step 6: Final answer
    x = 118,939.39

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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.