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Finding the Fourth Proportional to 321,932.88, 482,991.48 and 155,814.48

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Solution

The fourth proportional to 321,932.88, 482,991.48 and 155,814.48 is: 233,766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,932.88 : 482,991.48 = 155,814.48 : x
  2. Step 2: Convert to fraction form
    321,932.88/482,991.48 = 155,814.48/x
  3. Step 3: Cross multiply
    321,932.88x = 482,991.48 × 155,814.48
  4. Step 4: Simplify right side
    321,932.88x = 75,257,066,300.63
  5. Step 5: Solve for x
    x = 75,257,066,300.63/321,932.88
  6. Step 6: Final answer
    x = 233,766.33

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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.