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Finding the Fourth Proportional to 449,713.44, 620,639.82 and 256,129.31

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Solution

The fourth proportional to 449,713.44, 620,639.82 and 256,129.31 is: 353,478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,713.44 : 620,639.82 = 256,129.31 : x
  2. Step 2: Convert to fraction form
    449,713.44/620,639.82 = 256,129.31/x
  3. Step 3: Cross multiply
    449,713.44x = 620,639.82 × 256,129.31
  4. Step 4: Simplify right side
    449,713.44x = 158,964,050,406.72
  5. Step 5: Solve for x
    x = 158,964,050,406.72/449,713.44
  6. Step 6: Final answer
    x = 353,478.54

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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.