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Finding the Fourth Proportional to 491,831.56, 678,762.31 and 274,054.69

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Solution

The fourth proportional to 491,831.56, 678,762.31 and 274,054.69 is: 378,214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,831.56 : 678,762.31 = 274,054.69 : x
  2. Step 2: Convert to fraction form
    491,831.56/678,762.31 = 274,054.69/x
  3. Step 3: Cross multiply
    491,831.56x = 678,762.31 × 274,054.69
  4. Step 4: Simplify right side
    491,831.56x = 186,017,994,450.73
  5. Step 5: Solve for x
    x = 186,017,994,450.73/491,831.56
  6. Step 6: Final answer
    x = 378,214.84

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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.