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Finding the Fourth Proportional to 312,539.40, 468,628.02 and 275,174.55

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Solution

The fourth proportional to 312,539.40, 468,628.02 and 275,174.55 is: 412,602.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,539.40 : 468,628.02 = 275,174.55 : x
  2. Step 2: Convert to fraction form
    312,539.40/468,628.02 = 275,174.55/x
  3. Step 3: Cross multiply
    312,539.40x = 468,628.02 × 275,174.55
  4. Step 4: Simplify right side
    312,539.40x = 128,954,504,520.89
  5. Step 5: Solve for x
    x = 128,954,504,520.89/312,539.40
  6. Step 6: Final answer
    x = 412,602.39

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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.