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Finding the Fourth Proportional to 311,878.88, 467,868.71 and 122,236.35

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Solution

The fourth proportional to 311,878.88, 467,868.71 and 122,236.35 is: 183,374.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,878.88 : 467,868.71 = 122,236.35 : x
  2. Step 2: Convert to fraction form
    311,878.88/467,868.71 = 122,236.35/x
  3. Step 3: Cross multiply
    311,878.88x = 467,868.71 × 122,236.35
  4. Step 4: Simplify right side
    311,878.88x = 57,190,563,389.61
  5. Step 5: Solve for x
    x = 57,190,563,389.61/311,878.88
  6. Step 6: Final answer
    x = 183,374.27

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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.