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Finding the Fourth Proportional to 419,095.41, 628,202.96 and 205,567.67

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Solution

The fourth proportional to 419,095.41, 628,202.96 and 205,567.67 is: 308,135.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,095.41 : 628,202.96 = 205,567.67 : x
  2. Step 2: Convert to fraction form
    419,095.41/628,202.96 = 205,567.67/x
  3. Step 3: Cross multiply
    419,095.41x = 628,202.96 × 205,567.67
  4. Step 4: Simplify right side
    419,095.41x = 129,138,214,605.45
  5. Step 5: Solve for x
    x = 129,138,214,605.45/419,095.41
  6. Step 6: Final answer
    x = 308,135.60

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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.