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Finding the Fourth Proportional to 378,580.46, 522,441.42 and 217,466.69

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Solution

The fourth proportional to 378,580.46, 522,441.42 and 217,466.69 is: 300,104.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,580.46 : 522,441.42 = 217,466.69 : x
  2. Step 2: Convert to fraction form
    378,580.46/522,441.42 = 217,466.69/x
  3. Step 3: Cross multiply
    378,580.46x = 522,441.42 × 217,466.69
  4. Step 4: Simplify right side
    378,580.46x = 113,613,603,714.09
  5. Step 5: Solve for x
    x = 113,613,603,714.09/378,580.46
  6. Step 6: Final answer
    x = 300,104.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.