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Finding the Fourth Proportional to 574,385.84, 861,583.03 and 214,638

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Solution

The fourth proportional to 574,385.84, 861,583.03 and 214,638 is: 321,958.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,385.84 : 861,583.03 = 214,638 : x
  2. Step 2: Convert to fraction form
    574,385.84/861,583.03 = 214,638/x
  3. Step 3: Cross multiply
    574,385.84x = 861,583.03 × 214,638
  4. Step 4: Simplify right side
    574,385.84x = 184,928,457,319.95
  5. Step 5: Solve for x
    x = 184,928,457,319.95/574,385.84
  6. Step 6: Final answer
    x = 321,958.60

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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.