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Finding the Fourth Proportional to 405,193.80, 606,915.90 and 263,476.20

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Solution

The fourth proportional to 405,193.80, 606,915.90 and 263,476.20 is: 394,645.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,193.80 : 606,915.90 = 263,476.20 : x
  2. Step 2: Convert to fraction form
    405,193.80/606,915.90 = 263,476.20/x
  3. Step 3: Cross multiply
    405,193.80x = 606,915.90 × 263,476.20
  4. Step 4: Simplify right side
    405,193.80x = 159,907,895,051.58
  5. Step 5: Solve for x
    x = 159,907,895,051.58/405,193.80
  6. Step 6: Final answer
    x = 394,645.46

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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.