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Finding the Fourth Proportional to 229,591.26, 316,990.46 and 205,316.78

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Solution

The fourth proportional to 229,591.26, 316,990.46 and 205,316.78 is: 283,475.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,591.26 : 316,990.46 = 205,316.78 : x
  2. Step 2: Convert to fraction form
    229,591.26/316,990.46 = 205,316.78/x
  3. Step 3: Cross multiply
    229,591.26x = 316,990.46 × 205,316.78
  4. Step 4: Simplify right side
    229,591.26x = 65,083,459,466.26
  5. Step 5: Solve for x
    x = 65,083,459,466.26/229,591.26
  6. Step 6: Final answer
    x = 283,475.34

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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.