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Finding the Fourth Proportional to 321,728.24, 482,724.80 and 111,513.80

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Solution

The fourth proportional to 321,728.24, 482,724.80 and 111,513.80 is: 167,316.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,728.24 : 482,724.80 = 111,513.80 : x
  2. Step 2: Convert to fraction form
    321,728.24/482,724.80 = 111,513.80/x
  3. Step 3: Cross multiply
    321,728.24x = 482,724.80 × 111,513.80
  4. Step 4: Simplify right side
    321,728.24x = 53,830,476,802.24
  5. Step 5: Solve for x
    x = 53,830,476,802.24/321,728.24
  6. Step 6: Final answer
    x = 167,316.60

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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.