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Finding the Fourth Proportional to 321,852.31, 482,862.59 and 186,786.54

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Solution

The fourth proportional to 321,852.31, 482,862.59 and 186,786.54 is: 280,228.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,852.31 : 482,862.59 = 186,786.54 : x
  2. Step 2: Convert to fraction form
    321,852.31/482,862.59 = 186,786.54/x
  3. Step 3: Cross multiply
    321,852.31x = 482,862.59 × 186,786.54
  4. Step 4: Simplify right side
    321,852.31x = 90,192,229,133.29
  5. Step 5: Solve for x
    x = 90,192,229,133.29/321,852.31
  6. Step 6: Final answer
    x = 280,228.63

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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.