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Finding the Fourth Proportional to 256,484.10, 384,265.35 and 219,620.10

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Solution

The fourth proportional to 256,484.10, 384,265.35 and 219,620.10 is: 329,035.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,484.10 : 384,265.35 = 219,620.10 : x
  2. Step 2: Convert to fraction form
    256,484.10/384,265.35 = 219,620.10/x
  3. Step 3: Cross multiply
    256,484.10x = 384,265.35 × 219,620.10
  4. Step 4: Simplify right side
    256,484.10x = 84,392,394,593.54
  5. Step 5: Solve for x
    x = 84,392,394,593.54/256,484.10
  6. Step 6: Final answer
    x = 329,035.58

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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.