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Finding the Fourth Proportional to 419,907,737.10, 629,861,605.65 and 189,884,325.90

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Solution

The fourth proportional to 419,907,737.10, 629,861,605.65 and 189,884,325.90 is: 284,826,488.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,907,737.10 : 629,861,605.65 = 189,884,325.90 : x
  2. Step 2: Convert to fraction form
    419,907,737.10/629,861,605.65 = 189,884,325.90/x
  3. Step 3: Cross multiply
    419,907,737.10x = 629,861,605.65 × 189,884,325.90
  4. Step 4: Simplify right side
    419,907,737.10x = 119,600,846,399,141,888
  5. Step 5: Solve for x
    x = 119,600,846,399,141,888/419,907,737.10
  6. Step 6: Final answer
    x = 284,826,488.85

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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.