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Finding the Fourth Proportional to 440,150, 607,414.36 and 238,946

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Solution

The fourth proportional to 440,150, 607,414.36 and 238,946 is: 329,749.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,150 : 607,414.36 = 238,946 : x
  2. Step 2: Convert to fraction form
    440,150/607,414.36 = 238,946/x
  3. Step 3: Cross multiply
    440,150x = 607,414.36 × 238,946
  4. Step 4: Simplify right side
    440,150x = 145,139,231,664.56
  5. Step 5: Solve for x
    x = 145,139,231,664.56/440,150
  6. Step 6: Final answer
    x = 329,749.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.