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Finding the Fourth Proportional to 343,840.30, 515,760.45 and 320,512.30

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Solution

The fourth proportional to 343,840.30, 515,760.45 and 320,512.30 is: 480,768.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,840.30 : 515,760.45 = 320,512.30 : x
  2. Step 2: Convert to fraction form
    343,840.30/515,760.45 = 320,512.30/x
  3. Step 3: Cross multiply
    343,840.30x = 515,760.45 × 320,512.30
  4. Step 4: Simplify right side
    343,840.30x = 165,307,568,078.54
  5. Step 5: Solve for x
    x = 165,307,568,078.54/343,840.30
  6. Step 6: Final answer
    x = 480,768.45

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Double scale
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Similar ratio
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1.5x scale

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.