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Finding the Fourth Proportional to 322,698.74, 445,523.49 and 208,018.13

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Solution

The fourth proportional to 322,698.74, 445,523.49 and 208,018.13 is: 287,193.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,698.74 : 445,523.49 = 208,018.13 : x
  2. Step 2: Convert to fraction form
    322,698.74/445,523.49 = 208,018.13/x
  3. Step 3: Cross multiply
    322,698.74x = 445,523.49 × 208,018.13
  4. Step 4: Simplify right side
    322,698.74x = 92,676,961,033.26
  5. Step 5: Solve for x
    x = 92,676,961,033.26/322,698.74
  6. Step 6: Final answer
    x = 287,193.44

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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.