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Finding the Fourth Proportional to 415,466.62, 623,283.76 and 131,201.57

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Solution

The fourth proportional to 415,466.62, 623,283.76 and 131,201.57 is: 196,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,466.62 : 623,283.76 = 131,201.57 : x
  2. Step 2: Convert to fraction form
    415,466.62/623,283.76 = 131,201.57/x
  3. Step 3: Cross multiply
    415,466.62x = 623,283.76 × 131,201.57
  4. Step 4: Simplify right side
    415,466.62x = 81,775,809,589.71
  5. Step 5: Solve for x
    x = 81,775,809,589.71/415,466.62
  6. Step 6: Final answer
    x = 196,828.83

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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.