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Finding the Fourth Proportional to 490,675.48, 677,203.87 and 275,833.24

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Solution

The fourth proportional to 490,675.48, 677,203.87 and 275,833.24 is: 380,690.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,675.48 : 677,203.87 = 275,833.24 : x
  2. Step 2: Convert to fraction form
    490,675.48/677,203.87 = 275,833.24/x
  3. Step 3: Cross multiply
    490,675.48x = 677,203.87 × 275,833.24
  4. Step 4: Simplify right side
    490,675.48x = 186,795,337,602.64
  5. Step 5: Solve for x
    x = 186,795,337,602.64/490,675.48
  6. Step 6: Final answer
    x = 380,690.18

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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.