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Finding the Fourth Proportional to 256,475.10, 384,251.85 and 219,611.10

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Solution

The fourth proportional to 256,475.10, 384,251.85 and 219,611.10 is: 329,022.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,475.10 : 384,251.85 = 219,611.10 : x
  2. Step 2: Convert to fraction form
    256,475.10/384,251.85 = 219,611.10/x
  3. Step 3: Cross multiply
    256,475.10x = 384,251.85 × 219,611.10
  4. Step 4: Simplify right side
    256,475.10x = 84,385,971,455.54
  5. Step 5: Solve for x
    x = 84,385,971,455.54/256,475.10
  6. Step 6: Final answer
    x = 329,022.08

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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.