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Finding the Fourth Proportional to 305,512.64, 458,276.64 and 83,896

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Solution

The fourth proportional to 305,512.64, 458,276.64 and 83,896 is: 125,846.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,512.64 : 458,276.64 = 83,896 : x
  2. Step 2: Convert to fraction form
    305,512.64/458,276.64 = 83,896/x
  3. Step 3: Cross multiply
    305,512.64x = 458,276.64 × 83,896
  4. Step 4: Simplify right side
    305,512.64x = 38,447,576,989.44
  5. Step 5: Solve for x
    x = 38,447,576,989.44/305,512.64
  6. Step 6: Final answer
    x = 125,846.11

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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.