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Finding the Fourth Proportional to 213,508.56, 294,653.16 and 122,878.32

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Solution

The fourth proportional to 213,508.56, 294,653.16 and 122,878.32 is: 169,578.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,508.56 : 294,653.16 = 122,878.32 : x
  2. Step 2: Convert to fraction form
    213,508.56/294,653.16 = 122,878.32/x
  3. Step 3: Cross multiply
    213,508.56x = 294,653.16 × 122,878.32
  4. Step 4: Simplify right side
    213,508.56x = 36,206,485,283.49
  5. Step 5: Solve for x
    x = 36,206,485,283.49/213,508.56
  6. Step 6: Final answer
    x = 169,578.61

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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.