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Finding the Fourth Proportional to 256,611,486.80, 384,917,230.20 and 214,096,206.80

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Solution

The fourth proportional to 256,611,486.80, 384,917,230.20 and 214,096,206.80 is: 321,144,310.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,611,486.80 : 384,917,230.20 = 214,096,206.80 : x
  2. Step 2: Convert to fraction form
    256,611,486.80/384,917,230.20 = 214,096,206.80/x
  3. Step 3: Cross multiply
    256,611,486.80x = 384,917,230.20 × 214,096,206.80
  4. Step 4: Simplify right side
    256,611,486.80x = 82,409,318,917,782,400
  5. Step 5: Solve for x
    x = 82,409,318,917,782,400/256,611,486.80
  6. Step 6: Final answer
    x = 321,144,310.20

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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.