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Finding the Fourth Proportional to 229,409.28, 343,980 and 89,003.88

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Solution

The fourth proportional to 229,409.28, 343,980 and 89,003.88 is: 133,453.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,409.28 : 343,980 = 89,003.88 : x
  2. Step 2: Convert to fraction form
    229,409.28/343,980 = 89,003.88/x
  3. Step 3: Cross multiply
    229,409.28x = 343,980 × 89,003.88
  4. Step 4: Simplify right side
    229,409.28x = 30,615,554,642.40
  5. Step 5: Solve for x
    x = 30,615,554,642.40/229,409.28
  6. Step 6: Final answer
    x = 133,453.86

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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.