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Finding the Fourth Proportional to 262,840.59, 394,293.69 and 102,895.86

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Solution

The fourth proportional to 262,840.59, 394,293.69 and 102,895.86 is: 154,356.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,840.59 : 394,293.69 = 102,895.86 : x
  2. Step 2: Convert to fraction form
    262,840.59/394,293.69 = 102,895.86/x
  3. Step 3: Cross multiply
    262,840.59x = 394,293.69 × 102,895.86
  4. Step 4: Simplify right side
    262,840.59x = 40,571,188,325.12
  5. Step 5: Solve for x
    x = 40,571,188,325.12/262,840.59
  6. Step 6: Final answer
    x = 154,356.63

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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.