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Finding the Fourth Proportional to 382,980.78, 574,733.58 and 133,662.78

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Solution

The fourth proportional to 382,980.78, 574,733.58 and 133,662.78 is: 200,585.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,980.78 : 574,733.58 = 133,662.78 : x
  2. Step 2: Convert to fraction form
    382,980.78/574,733.58 = 133,662.78/x
  3. Step 3: Cross multiply
    382,980.78x = 574,733.58 × 133,662.78
  4. Step 4: Simplify right side
    382,980.78x = 76,820,488,062.15
  5. Step 5: Solve for x
    x = 76,820,488,062.15/382,980.78
  6. Step 6: Final answer
    x = 200,585.75

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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.