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Finding the Fourth Proportional to 407,069.40, 610,431.30 and 196,771.80

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Solution

The fourth proportional to 407,069.40, 610,431.30 and 196,771.80 is: 295,074.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,069.40 : 610,431.30 = 196,771.80 : x
  2. Step 2: Convert to fraction form
    407,069.40/610,431.30 = 196,771.80/x
  3. Step 3: Cross multiply
    407,069.40x = 610,431.30 × 196,771.80
  4. Step 4: Simplify right side
    407,069.40x = 120,115,665,677.34
  5. Step 5: Solve for x
    x = 120,115,665,677.34/407,069.40
  6. Step 6: Final answer
    x = 295,074.17

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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.