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Finding the Fourth Proportional to 419,903,999.10, 629,855,998.65 and 290,237,643.90

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Solution

The fourth proportional to 419,903,999.10, 629,855,998.65 and 290,237,643.90 is: 435,356,465.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,903,999.10 : 629,855,998.65 = 290,237,643.90 : x
  2. Step 2: Convert to fraction form
    419,903,999.10/629,855,998.65 = 290,237,643.90/x
  3. Step 3: Cross multiply
    419,903,999.10x = 629,855,998.65 × 290,237,643.90
  4. Step 4: Simplify right side
    419,903,999.10x = 182,807,921,044,457,568
  5. Step 5: Solve for x
    x = 182,807,921,044,457,568/419,903,999.10
  6. Step 6: Final answer
    x = 435,356,465.85

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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.