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Finding the Fourth Proportional to 413,984.80, 620,857 and 161,208.80

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Solution

The fourth proportional to 413,984.80, 620,857 and 161,208.80 is: 241,766.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,984.80 : 620,857 = 161,208.80 : x
  2. Step 2: Convert to fraction form
    413,984.80/620,857 = 161,208.80/x
  3. Step 3: Cross multiply
    413,984.80x = 620,857 × 161,208.80
  4. Step 4: Simplify right side
    413,984.80x = 100,087,611,941.60
  5. Step 5: Solve for x
    x = 100,087,611,941.60/413,984.80
  6. Step 6: Final answer
    x = 241,766.39

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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.