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Finding the Fourth Proportional to 391,678.34, 540,821.41 and 300,890.50

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Solution

The fourth proportional to 391,678.34, 540,821.41 and 300,890.50 is: 415,463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,678.34 : 540,821.41 = 300,890.50 : x
  2. Step 2: Convert to fraction form
    391,678.34/540,821.41 = 300,890.50/x
  3. Step 3: Cross multiply
    391,678.34x = 540,821.41 × 300,890.50
  4. Step 4: Simplify right side
    391,678.34x = 162,728,022,361.33
  5. Step 5: Solve for x
    x = 162,728,022,361.33/391,678.34
  6. Step 6: Final answer
    x = 415,463.42

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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.