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Finding the Fourth Proportional to 659,509.59, 988,571.83 and 419,807.10

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Solution

The fourth proportional to 659,509.59, 988,571.83 and 419,807.10 is: 629,269.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,509.59 : 988,571.83 = 419,807.10 : x
  2. Step 2: Convert to fraction form
    659,509.59/988,571.83 = 419,807.10/x
  3. Step 3: Cross multiply
    659,509.59x = 988,571.83 × 419,807.10
  4. Step 4: Simplify right side
    659,509.59x = 415,009,473,093.99
  5. Step 5: Solve for x
    x = 415,009,473,093.99/659,509.59
  6. Step 6: Final answer
    x = 629,269.81

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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.