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Finding the Fourth Proportional to 490,628.32, 736,228 and 206,298.27

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Solution

The fourth proportional to 490,628.32, 736,228 and 206,298.27 is: 309,567.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,628.32 : 736,228 = 206,298.27 : x
  2. Step 2: Convert to fraction form
    490,628.32/736,228 = 206,298.27/x
  3. Step 3: Cross multiply
    490,628.32x = 736,228 × 206,298.27
  4. Step 4: Simplify right side
    490,628.32x = 151,882,562,725.56
  5. Step 5: Solve for x
    x = 151,882,562,725.56/490,628.32
  6. Step 6: Final answer
    x = 309,567.46

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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.