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Finding the Fourth Proportional to 857,881.86, 1,285,986 and 408,481.98

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Solution

The fourth proportional to 857,881.86, 1,285,986 and 408,481.98 is: 612,324.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,881.86 : 1,285,986 = 408,481.98 : x
  2. Step 2: Convert to fraction form
    857,881.86/1,285,986 = 408,481.98/x
  3. Step 3: Cross multiply
    857,881.86x = 1,285,986 × 408,481.98
  4. Step 4: Simplify right side
    857,881.86x = 525,302,107,532.28
  5. Step 5: Solve for x
    x = 525,302,107,532.28/857,881.86
  6. Step 6: Final answer
    x = 612,324.53

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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.