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Finding the Fourth Proportional to 389,466.90, 584,200.35 and 220,922.10

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Solution

The fourth proportional to 389,466.90, 584,200.35 and 220,922.10 is: 331,383.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,466.90 : 584,200.35 = 220,922.10 : x
  2. Step 2: Convert to fraction form
    389,466.90/584,200.35 = 220,922.10/x
  3. Step 3: Cross multiply
    389,466.90x = 584,200.35 × 220,922.10
  4. Step 4: Simplify right side
    389,466.90x = 129,062,768,142.74
  5. Step 5: Solve for x
    x = 129,062,768,142.74/389,466.90
  6. Step 6: Final answer
    x = 331,383.15

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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.