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Finding the Fourth Proportional to 281,326.52, 421,989.84 and 84,334.52

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Solution

The fourth proportional to 281,326.52, 421,989.84 and 84,334.52 is: 126,501.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,326.52 : 421,989.84 = 84,334.52 : x
  2. Step 2: Convert to fraction form
    281,326.52/421,989.84 = 84,334.52/x
  3. Step 3: Cross multiply
    281,326.52x = 421,989.84 × 84,334.52
  4. Step 4: Simplify right side
    281,326.52x = 35,588,310,601.28
  5. Step 5: Solve for x
    x = 35,588,310,601.28/281,326.52
  6. Step 6: Final answer
    x = 126,501.80

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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.