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Finding the Fourth Proportional to 305,413.20, 458,215.80 and 147,646.80

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Solution

The fourth proportional to 305,413.20, 458,215.80 and 147,646.80 is: 221,516.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,413.20 : 458,215.80 = 147,646.80 : x
  2. Step 2: Convert to fraction form
    305,413.20/458,215.80 = 147,646.80/x
  3. Step 3: Cross multiply
    305,413.20x = 458,215.80 × 147,646.80
  4. Step 4: Simplify right side
    305,413.20x = 67,654,096,579.44
  5. Step 5: Solve for x
    x = 67,654,096,579.44/305,413.20
  6. Step 6: Final answer
    x = 221,516.61

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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.