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Finding the Fourth Proportional to 449,685.50, 620,629.29 and 286,289.82

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Solution

The fourth proportional to 449,685.50, 620,629.29 and 286,289.82 is: 395,120.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,685.50 : 620,629.29 = 286,289.82 : x
  2. Step 2: Convert to fraction form
    449,685.50/620,629.29 = 286,289.82/x
  3. Step 3: Cross multiply
    449,685.50x = 620,629.29 × 286,289.82
  4. Step 4: Simplify right side
    449,685.50x = 177,679,847,720.83
  5. Step 5: Solve for x
    x = 177,679,847,720.83/449,685.50
  6. Step 6: Final answer
    x = 395,120.25

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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.