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Finding the Fourth Proportional to 262,561.80, 393,745.50 and 206,510.88

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Solution

The fourth proportional to 262,561.80, 393,745.50 and 206,510.88 is: 309,689.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,561.80 : 393,745.50 = 206,510.88 : x
  2. Step 2: Convert to fraction form
    262,561.80/393,745.50 = 206,510.88/x
  3. Step 3: Cross multiply
    262,561.80x = 393,745.50 × 206,510.88
  4. Step 4: Simplify right side
    262,561.80x = 81,312,729,701.04
  5. Step 5: Solve for x
    x = 81,312,729,701.04/262,561.80
  6. Step 6: Final answer
    x = 309,689.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.