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Finding the Fourth Proportional to 262,829.80, 394,244.70 and 105,171.40

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Solution

The fourth proportional to 262,829.80, 394,244.70 and 105,171.40 is: 157,757.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,829.80 : 394,244.70 = 105,171.40 : x
  2. Step 2: Convert to fraction form
    262,829.80/394,244.70 = 105,171.40/x
  3. Step 3: Cross multiply
    262,829.80x = 394,244.70 × 105,171.40
  4. Step 4: Simplify right side
    262,829.80x = 41,463,267,041.58
  5. Step 5: Solve for x
    x = 41,463,267,041.58/262,829.80
  6. Step 6: Final answer
    x = 157,757.10

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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.