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Finding the Fourth Proportional to 219,714.28, 329,571.43 and 208,494.97

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Solution

The fourth proportional to 219,714.28, 329,571.43 and 208,494.97 is: 312,742.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,714.28 : 329,571.43 = 208,494.97 : x
  2. Step 2: Convert to fraction form
    219,714.28/329,571.43 = 208,494.97/x
  3. Step 3: Cross multiply
    219,714.28x = 329,571.43 × 208,494.97
  4. Step 4: Simplify right side
    219,714.28x = 68,713,984,065.54
  5. Step 5: Solve for x
    x = 68,713,984,065.54/219,714.28
  6. Step 6: Final answer
    x = 312,742.46

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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.