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Finding the Fourth Proportional to 275,795.75, 380,643.27 and 229,782.42

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Solution

The fourth proportional to 275,795.75, 380,643.27 and 229,782.42 is: 317,137.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,795.75 : 380,643.27 = 229,782.42 : x
  2. Step 2: Convert to fraction form
    275,795.75/380,643.27 = 229,782.42/x
  3. Step 3: Cross multiply
    275,795.75x = 380,643.27 × 229,782.42
  4. Step 4: Simplify right side
    275,795.75x = 87,465,130,875.63
  5. Step 5: Solve for x
    x = 87,465,130,875.63/275,795.75
  6. Step 6: Final answer
    x = 317,137.34

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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.