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Finding the Fourth Proportional to 449,824.34, 620,511.90 and 288,499.88

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Solution

The fourth proportional to 449,824.34, 620,511.90 and 288,499.88 is: 397,972.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,824.34 : 620,511.90 = 288,499.88 : x
  2. Step 2: Convert to fraction form
    449,824.34/620,511.90 = 288,499.88/x
  3. Step 3: Cross multiply
    449,824.34x = 620,511.90 × 288,499.88
  4. Step 4: Simplify right side
    449,824.34x = 179,017,608,688.57
  5. Step 5: Solve for x
    x = 179,017,608,688.57/449,824.34
  6. Step 6: Final answer
    x = 397,972.26

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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.