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Finding the Fourth Proportional to 380,169, 524,633.22 and 221,193

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Solution

The fourth proportional to 380,169, 524,633.22 and 221,193 is: 305,246.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,169 : 524,633.22 = 221,193 : x
  2. Step 2: Convert to fraction form
    380,169/524,633.22 = 221,193/x
  3. Step 3: Cross multiply
    380,169x = 524,633.22 × 221,193
  4. Step 4: Simplify right side
    380,169x = 116,045,195,831.46
  5. Step 5: Solve for x
    x = 116,045,195,831.46/380,169
  6. Step 6: Final answer
    x = 305,246.34

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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.