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Finding the Fourth Proportional to 258,512.58, 356,763.78 and 145,342.62

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Solution

The fourth proportional to 258,512.58, 356,763.78 and 145,342.62 is: 200,582.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,512.58 : 356,763.78 = 145,342.62 : x
  2. Step 2: Convert to fraction form
    258,512.58/356,763.78 = 145,342.62/x
  3. Step 3: Cross multiply
    258,512.58x = 356,763.78 × 145,342.62
  4. Step 4: Simplify right side
    258,512.58x = 51,852,982,506.30
  5. Step 5: Solve for x
    x = 51,852,982,506.30/258,512.58
  6. Step 6: Final answer
    x = 200,582.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.