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Finding the Fourth Proportional to 258,917.40, 388,376.10 and 81,478.80

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Solution

The fourth proportional to 258,917.40, 388,376.10 and 81,478.80 is: 122,218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,917.40 : 388,376.10 = 81,478.80 : x
  2. Step 2: Convert to fraction form
    258,917.40/388,376.10 = 81,478.80/x
  3. Step 3: Cross multiply
    258,917.40x = 388,376.10 × 81,478.80
  4. Step 4: Simplify right side
    258,917.40x = 31,644,418,576.68
  5. Step 5: Solve for x
    x = 31,644,418,576.68/258,917.40
  6. Step 6: Final answer
    x = 122,218.20

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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.