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Finding the Fourth Proportional to 491,831.94, 678,762.83 and 274,055.07

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Solution

The fourth proportional to 491,831.94, 678,762.83 and 274,055.07 is: 378,215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,831.94 : 678,762.83 = 274,055.07 : x
  2. Step 2: Convert to fraction form
    491,831.94/678,762.83 = 274,055.07/x
  3. Step 3: Cross multiply
    491,831.94x = 678,762.83 × 274,055.07
  4. Step 4: Simplify right side
    491,831.94x = 186,018,394,889.05
  5. Step 5: Solve for x
    x = 186,018,394,889.05/491,831.94
  6. Step 6: Final answer
    x = 378,215.36

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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.