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Finding the Fourth Proportional to 321,766.49, 482,662.70 and 153,200.09

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Solution

The fourth proportional to 321,766.49, 482,662.70 and 153,200.09 is: 229,806.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,766.49 : 482,662.70 = 153,200.09 : x
  2. Step 2: Convert to fraction form
    321,766.49/482,662.70 = 153,200.09/x
  3. Step 3: Cross multiply
    321,766.49x = 482,662.70 × 153,200.09
  4. Step 4: Simplify right side
    321,766.49x = 73,943,968,313.64
  5. Step 5: Solve for x
    x = 73,943,968,313.64/321,766.49
  6. Step 6: Final answer
    x = 229,806.31

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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.