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Finding the Fourth Proportional to 276,469.31, 414,759.30 and 86,977.34

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Solution

The fourth proportional to 276,469.31, 414,759.30 and 86,977.34 is: 130,483.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,469.31 : 414,759.30 = 86,977.34 : x
  2. Step 2: Convert to fraction form
    276,469.31/414,759.30 = 86,977.34/x
  3. Step 3: Cross multiply
    276,469.31x = 414,759.30 × 86,977.34
  4. Step 4: Simplify right side
    276,469.31x = 36,074,658,580.47
  5. Step 5: Solve for x
    x = 36,074,658,580.47/276,469.31
  6. Step 6: Final answer
    x = 130,483.41

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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.