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Finding the Fourth Proportional to 300,667.09, 414,920.19 and 164,709.40

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Solution

The fourth proportional to 300,667.09, 414,920.19 and 164,709.40 is: 227,298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,667.09 : 414,920.19 = 164,709.40 : x
  2. Step 2: Convert to fraction form
    300,667.09/414,920.19 = 164,709.40/x
  3. Step 3: Cross multiply
    300,667.09x = 414,920.19 × 164,709.40
  4. Step 4: Simplify right side
    300,667.09x = 68,341,255,542.79
  5. Step 5: Solve for x
    x = 68,341,255,542.79/300,667.09
  6. Step 6: Final answer
    x = 227,298.76

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1.5x scale

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.