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Finding the Fourth Proportional to 509,413.96, 764,076.90 and 172,447.42

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Solution

The fourth proportional to 509,413.96, 764,076.90 and 172,447.42 is: 258,656.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,413.96 : 764,076.90 = 172,447.42 : x
  2. Step 2: Convert to fraction form
    509,413.96/764,076.90 = 172,447.42/x
  3. Step 3: Cross multiply
    509,413.96x = 764,076.90 × 172,447.42
  4. Step 4: Simplify right side
    509,413.96x = 131,763,090,086.60
  5. Step 5: Solve for x
    x = 131,763,090,086.60/509,413.96
  6. Step 6: Final answer
    x = 258,656.22

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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.