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Finding the Fourth Proportional to 300,838, 415,161.03 and 164,870.84

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Solution

The fourth proportional to 300,838, 415,161.03 and 164,870.84 is: 227,524.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,838 : 415,161.03 = 164,870.84 : x
  2. Step 2: Convert to fraction form
    300,838/415,161.03 = 164,870.84/x
  3. Step 3: Cross multiply
    300,838x = 415,161.03 × 164,870.84
  4. Step 4: Simplify right side
    300,838x = 68,447,947,751.37
  5. Step 5: Solve for x
    x = 68,447,947,751.37/300,838
  6. Step 6: Final answer
    x = 227,524.27

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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.