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Finding the Fourth Proportional to 281,290.86, 422,111.25 and 205,256.16

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Solution

The fourth proportional to 281,290.86, 422,111.25 and 205,256.16 is: 308,011.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,290.86 : 422,111.25 = 205,256.16 : x
  2. Step 2: Convert to fraction form
    281,290.86/422,111.25 = 205,256.16/x
  3. Step 3: Cross multiply
    281,290.86x = 422,111.25 × 205,256.16
  4. Step 4: Simplify right side
    281,290.86x = 86,640,934,267.80
  5. Step 5: Solve for x
    x = 86,640,934,267.80/281,290.86
  6. Step 6: Final answer
    x = 308,011.91

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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.