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Finding the Fourth Proportional to 438,662.28, 658,236.72 and 214,024.56

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Solution

The fourth proportional to 438,662.28, 658,236.72 and 214,024.56 is: 321,155.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,662.28 : 658,236.72 = 214,024.56 : x
  2. Step 2: Convert to fraction form
    438,662.28/658,236.72 = 214,024.56/x
  3. Step 3: Cross multiply
    438,662.28x = 658,236.72 × 214,024.56
  4. Step 4: Simplify right side
    438,662.28x = 140,878,824,373.84
  5. Step 5: Solve for x
    x = 140,878,824,373.84/438,662.28
  6. Step 6: Final answer
    x = 321,155.55

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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.