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Finding the Fourth Proportional to 434,136.78, 650,680.29 and 223,659.90

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Solution

The fourth proportional to 434,136.78, 650,680.29 and 223,659.90 is: 335,219.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,136.78 : 650,680.29 = 223,659.90 : x
  2. Step 2: Convert to fraction form
    434,136.78/650,680.29 = 223,659.90/x
  3. Step 3: Cross multiply
    434,136.78x = 650,680.29 × 223,659.90
  4. Step 4: Simplify right side
    434,136.78x = 145,531,088,593.37
  5. Step 5: Solve for x
    x = 145,531,088,593.37/434,136.78
  6. Step 6: Final answer
    x = 335,219.44

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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.