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Finding the Fourth Proportional to 389,489.58, 584,228.30 and 199,840.50

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Solution

The fourth proportional to 389,489.58, 584,228.30 and 199,840.50 is: 299,757.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,489.58 : 584,228.30 = 199,840.50 : x
  2. Step 2: Convert to fraction form
    389,489.58/584,228.30 = 199,840.50/x
  3. Step 3: Cross multiply
    389,489.58x = 584,228.30 × 199,840.50
  4. Step 4: Simplify right side
    389,489.58x = 116,752,474,586.95
  5. Step 5: Solve for x
    x = 116,752,474,586.95/389,489.58
  6. Step 6: Final answer
    x = 299,757.63

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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.