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Finding the Fourth Proportional to 308,011, 462,200.82 and 132,907

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Solution

The fourth proportional to 308,011, 462,200.82 and 132,907 is: 199,440.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,011 : 462,200.82 = 132,907 : x
  2. Step 2: Convert to fraction form
    308,011/462,200.82 = 132,907/x
  3. Step 3: Cross multiply
    308,011x = 462,200.82 × 132,907
  4. Step 4: Simplify right side
    308,011x = 61,429,724,383.74
  5. Step 5: Solve for x
    x = 61,429,724,383.74/308,011
  6. Step 6: Final answer
    x = 199,440.03

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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.