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Finding the Fourth Proportional to 419,683.07, 629,339.42 and 120,095.46

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Solution

The fourth proportional to 419,683.07, 629,339.42 and 120,095.46 is: 180,090.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,683.07 : 629,339.42 = 120,095.46 : x
  2. Step 2: Convert to fraction form
    419,683.07/629,339.42 = 120,095.46/x
  3. Step 3: Cross multiply
    419,683.07x = 629,339.42 × 120,095.46
  4. Step 4: Simplify right side
    419,683.07x = 75,580,807,441.27
  5. Step 5: Solve for x
    x = 75,580,807,441.27/419,683.07
  6. Step 6: Final answer
    x = 180,090.20

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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.