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Finding the Fourth Proportional to 415,077.92, 622,617.06 and 320,446.30

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Solution

The fourth proportional to 415,077.92, 622,617.06 and 320,446.30 is: 480,669.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,077.92 : 622,617.06 = 320,446.30 : x
  2. Step 2: Convert to fraction form
    415,077.92/622,617.06 = 320,446.30/x
  3. Step 3: Cross multiply
    415,077.92x = 622,617.06 × 320,446.30
  4. Step 4: Simplify right side
    415,077.92x = 199,515,333,193.88
  5. Step 5: Solve for x
    x = 199,515,333,193.88/415,077.92
  6. Step 6: Final answer
    x = 480,669.59

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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.