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Finding the Fourth Proportional to 490,933.53, 677,484 and 276,069.02

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Solution

The fourth proportional to 490,933.53, 677,484 and 276,069.02 is: 380,972.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,933.53 : 677,484 = 276,069.02 : x
  2. Step 2: Convert to fraction form
    490,933.53/677,484 = 276,069.02/x
  3. Step 3: Cross multiply
    490,933.53x = 677,484 × 276,069.02
  4. Step 4: Simplify right side
    490,933.53x = 187,032,340,558.26
  5. Step 5: Solve for x
    x = 187,032,340,558.26/490,933.53
  6. Step 6: Final answer
    x = 380,972.84

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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.