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Finding the Fourth Proportional to 312,112.40, 468,238.28 and 122,591.03

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Solution

The fourth proportional to 312,112.40, 468,238.28 and 122,591.03 is: 183,913.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,112.40 : 468,238.28 = 122,591.03 : x
  2. Step 2: Convert to fraction form
    312,112.40/468,238.28 = 122,591.03/x
  3. Step 3: Cross multiply
    312,112.40x = 468,238.28 × 122,591.03
  4. Step 4: Simplify right side
    312,112.40x = 57,401,810,076.48
  5. Step 5: Solve for x
    x = 57,401,810,076.48/312,112.40
  6. Step 6: Final answer
    x = 183,913.91

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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.