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Finding the Fourth Proportional to 494,762.22, 682,771.95 and 279,897.84

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Solution

The fourth proportional to 494,762.22, 682,771.95 and 279,897.84 is: 386,259.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,762.22 : 682,771.95 = 279,897.84 : x
  2. Step 2: Convert to fraction form
    494,762.22/682,771.95 = 279,897.84/x
  3. Step 3: Cross multiply
    494,762.22x = 682,771.95 × 279,897.84
  4. Step 4: Simplify right side
    494,762.22x = 191,106,394,017.59
  5. Step 5: Solve for x
    x = 191,106,394,017.59/494,762.22
  6. Step 6: Final answer
    x = 386,259.07

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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.