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Finding the Fourth Proportional to 263,998.80, 396,095.40 and 106,340.40

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Solution

The fourth proportional to 263,998.80, 396,095.40 and 106,340.40 is: 159,549.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,998.80 : 396,095.40 = 106,340.40 : x
  2. Step 2: Convert to fraction form
    263,998.80/396,095.40 = 106,340.40/x
  3. Step 3: Cross multiply
    263,998.80x = 396,095.40 × 106,340.40
  4. Step 4: Simplify right side
    263,998.80x = 42,120,943,274.16
  5. Step 5: Solve for x
    x = 42,120,943,274.16/263,998.80
  6. Step 6: Final answer
    x = 159,549.75

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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.