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Finding the Fourth Proportional to 380,704.88, 570,760.93 and 188,446.66

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Solution

The fourth proportional to 380,704.88, 570,760.93 and 188,446.66 is: 282,523.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,704.88 : 570,760.93 = 188,446.66 : x
  2. Step 2: Convert to fraction form
    380,704.88/570,760.93 = 188,446.66/x
  3. Step 3: Cross multiply
    380,704.88x = 570,760.93 × 188,446.66
  4. Step 4: Simplify right side
    380,704.88x = 107,557,990,916.99
  5. Step 5: Solve for x
    x = 107,557,990,916.99/380,704.88
  6. Step 6: Final answer
    x = 282,523.28

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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.