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Finding the Fourth Proportional to 625,413.46, 863,071.31 and 338,933.54

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Solution

The fourth proportional to 625,413.46, 863,071.31 and 338,933.54 is: 467,728.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,413.46 : 863,071.31 = 338,933.54 : x
  2. Step 2: Convert to fraction form
    625,413.46/863,071.31 = 338,933.54/x
  3. Step 3: Cross multiply
    625,413.46x = 863,071.31 × 338,933.54
  4. Step 4: Simplify right side
    625,413.46x = 292,523,814,370.74
  5. Step 5: Solve for x
    x = 292,523,814,370.74/625,413.46
  6. Step 6: Final answer
    x = 467,728.68

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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.