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Finding the Fourth Proportional to 438,661.28, 658,235.22 and 214,023.56

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Solution

The fourth proportional to 438,661.28, 658,235.22 and 214,023.56 is: 321,154.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,661.28 : 658,235.22 = 214,023.56 : x
  2. Step 2: Convert to fraction form
    438,661.28/658,235.22 = 214,023.56/x
  3. Step 3: Cross multiply
    438,661.28x = 658,235.22 × 214,023.56
  4. Step 4: Simplify right side
    438,661.28x = 140,877,845,101.78
  5. Step 5: Solve for x
    x = 140,877,845,101.78/438,661.28
  6. Step 6: Final answer
    x = 321,154.05

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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.