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Finding the Fourth Proportional to 449,057, 673,872.30 and 212,413.64

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Solution

The fourth proportional to 449,057, 673,872.30 and 212,413.64 is: 318,756.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,057 : 673,872.30 = 212,413.64 : x
  2. Step 2: Convert to fraction form
    449,057/673,872.30 = 212,413.64/x
  3. Step 3: Cross multiply
    449,057x = 673,872.30 × 212,413.64
  4. Step 4: Simplify right side
    449,057x = 143,139,668,138.17
  5. Step 5: Solve for x
    x = 143,139,668,138.17/449,057
  6. Step 6: Final answer
    x = 318,756.12

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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.