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Finding the Fourth Proportional to 305,208, 457,812 and 118,219.50

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Solution

The fourth proportional to 305,208, 457,812 and 118,219.50 is: 177,329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,208 : 457,812 = 118,219.50 : x
  2. Step 2: Convert to fraction form
    305,208/457,812 = 118,219.50/x
  3. Step 3: Cross multiply
    305,208x = 457,812 × 118,219.50
  4. Step 4: Simplify right side
    305,208x = 54,122,305,734
  5. Step 5: Solve for x
    x = 54,122,305,734/305,208
  6. Step 6: Final answer
    x = 177,329.25

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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.