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Finding the Fourth Proportional to 264,741.40, 397,112.10 and 219,640.60

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Solution

The fourth proportional to 264,741.40, 397,112.10 and 219,640.60 is: 329,460.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,741.40 : 397,112.10 = 219,640.60 : x
  2. Step 2: Convert to fraction form
    264,741.40/397,112.10 = 219,640.60/x
  3. Step 3: Cross multiply
    264,741.40x = 397,112.10 × 219,640.60
  4. Step 4: Simplify right side
    264,741.40x = 87,221,939,911.26
  5. Step 5: Solve for x
    x = 87,221,939,911.26/264,741.40
  6. Step 6: Final answer
    x = 329,460.90

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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.