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Finding the Fourth Proportional to 476,775.27, 658,006.98 and 285,782.31

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Solution

The fourth proportional to 476,775.27, 658,006.98 and 285,782.31 is: 394,413.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,775.27 : 658,006.98 = 285,782.31 : x
  2. Step 2: Convert to fraction form
    476,775.27/658,006.98 = 285,782.31/x
  3. Step 3: Cross multiply
    476,775.27x = 658,006.98 × 285,782.31
  4. Step 4: Simplify right side
    476,775.27x = 188,046,750,021.58
  5. Step 5: Solve for x
    x = 188,046,750,021.58/476,775.27
  6. Step 6: Final answer
    x = 394,413.81

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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.