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Finding the Fourth Proportional to 262,415.80, 393,662.10 and 137,766.20

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Solution

The fourth proportional to 262,415.80, 393,662.10 and 137,766.20 is: 206,669.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,415.80 : 393,662.10 = 137,766.20 : x
  2. Step 2: Convert to fraction form
    262,415.80/393,662.10 = 137,766.20/x
  3. Step 3: Cross multiply
    262,415.80x = 393,662.10 × 137,766.20
  4. Step 4: Simplify right side
    262,415.80x = 54,233,331,601.02
  5. Step 5: Solve for x
    x = 54,233,331,601.02/262,415.80
  6. Step 6: Final answer
    x = 206,669.46

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1.5x scale

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.