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Finding the Fourth Proportional to 489,567.80, 675,609 and 271,791.20

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Solution

The fourth proportional to 489,567.80, 675,609 and 271,791.20 is: 375,074.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,567.80 : 675,609 = 271,791.20 : x
  2. Step 2: Convert to fraction form
    489,567.80/675,609 = 271,791.20/x
  3. Step 3: Cross multiply
    489,567.80x = 675,609 × 271,791.20
  4. Step 4: Simplify right side
    489,567.80x = 183,624,580,840.80
  5. Step 5: Solve for x
    x = 183,624,580,840.80/489,567.80
  6. Step 6: Final answer
    x = 375,074.87

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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.