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Finding the Fourth Proportional to 315,771.82, 435,764.46 and 172,532.89

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Solution

The fourth proportional to 315,771.82, 435,764.46 and 172,532.89 is: 238,095.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,771.82 : 435,764.46 = 172,532.89 : x
  2. Step 2: Convert to fraction form
    315,771.82/435,764.46 = 172,532.89/x
  3. Step 3: Cross multiply
    315,771.82x = 435,764.46 × 172,532.89
  4. Step 4: Simplify right side
    315,771.82x = 75,183,699,413.12
  5. Step 5: Solve for x
    x = 75,183,699,413.12/315,771.82
  6. Step 6: Final answer
    x = 238,095.03

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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.