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Finding the Fourth Proportional to 415,027.78, 622,541.79 and 320,396.09

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Solution

The fourth proportional to 415,027.78, 622,541.79 and 320,396.09 is: 480,594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,027.78 : 622,541.79 = 320,396.09 : x
  2. Step 2: Convert to fraction form
    415,027.78/622,541.79 = 320,396.09/x
  3. Step 3: Cross multiply
    415,027.78x = 622,541.79 × 320,396.09
  4. Step 4: Simplify right side
    415,027.78x = 199,459,952,264.89
  5. Step 5: Solve for x
    x = 199,459,952,264.89/415,027.78
  6. Step 6: Final answer
    x = 480,594.22

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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.