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Finding the Fourth Proportional to 314,584.56, 434,221.56 and 214,040.88

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Solution

The fourth proportional to 314,584.56, 434,221.56 and 214,040.88 is: 295,440.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,584.56 : 434,221.56 = 214,040.88 : x
  2. Step 2: Convert to fraction form
    314,584.56/434,221.56 = 214,040.88/x
  3. Step 3: Cross multiply
    314,584.56x = 434,221.56 × 214,040.88
  4. Step 4: Simplify right side
    314,584.56x = 92,941,164,817.37
  5. Step 5: Solve for x
    x = 92,941,164,817.37/314,584.56
  6. Step 6: Final answer
    x = 295,440.96

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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.