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Finding the Fourth Proportional to 420,777.82, 580,675.52 and 229,791.21

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Solution

The fourth proportional to 420,777.82, 580,675.52 and 229,791.21 is: 317,113.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,777.82 : 580,675.52 = 229,791.21 : x
  2. Step 2: Convert to fraction form
    420,777.82/580,675.52 = 229,791.21/x
  3. Step 3: Cross multiply
    420,777.82x = 580,675.52 × 229,791.21
  4. Step 4: Simplify right side
    420,777.82x = 133,434,130,358.18
  5. Step 5: Solve for x
    x = 133,434,130,358.18/420,777.82
  6. Step 6: Final answer
    x = 317,113.03

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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.