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Finding the Fourth Proportional to 449,679.74, 620,828.35 and 280,143.50

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Solution

The fourth proportional to 449,679.74, 620,828.35 and 280,143.50 is: 386,766.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,679.74 : 620,828.35 = 280,143.50 : x
  2. Step 2: Convert to fraction form
    449,679.74/620,828.35 = 280,143.50/x
  3. Step 3: Cross multiply
    449,679.74x = 620,828.35 × 280,143.50
  4. Step 4: Simplify right side
    449,679.74x = 173,921,023,063.73
  5. Step 5: Solve for x
    x = 173,921,023,063.73/449,679.74
  6. Step 6: Final answer
    x = 386,766.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.