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Finding the Fourth Proportional to 308,039.20, 462,212.40 and 175,021.60

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Solution

The fourth proportional to 308,039.20, 462,212.40 and 175,021.60 is: 262,619.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,039.20 : 462,212.40 = 175,021.60 : x
  2. Step 2: Convert to fraction form
    308,039.20/462,212.40 = 175,021.60/x
  3. Step 3: Cross multiply
    308,039.20x = 462,212.40 × 175,021.60
  4. Step 4: Simplify right side
    308,039.20x = 80,897,153,787.84
  5. Step 5: Solve for x
    x = 80,897,153,787.84/308,039.20
  6. Step 6: Final answer
    x = 262,619.67

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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.