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Finding the Fourth Proportional to 471,214.32, 706,938.12 and 221,838

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Solution

The fourth proportional to 471,214.32, 706,938.12 and 221,838 is: 332,811.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,214.32 : 706,938.12 = 221,838 : x
  2. Step 2: Convert to fraction form
    471,214.32/706,938.12 = 221,838/x
  3. Step 3: Cross multiply
    471,214.32x = 706,938.12 × 221,838
  4. Step 4: Simplify right side
    471,214.32x = 156,825,738,664.56
  5. Step 5: Solve for x
    x = 156,825,738,664.56/471,214.32
  6. Step 6: Final answer
    x = 332,811.91

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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.