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Finding the Fourth Proportional to 295,778, 443,770.68 and 129,578.96

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Solution

The fourth proportional to 295,778, 443,770.68 and 129,578.96 is: 194,413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,778 : 443,770.68 = 129,578.96 : x
  2. Step 2: Convert to fraction form
    295,778/443,770.68 = 129,578.96/x
  3. Step 3: Cross multiply
    295,778x = 443,770.68 × 129,578.96
  4. Step 4: Simplify right side
    295,778x = 57,503,343,192.89
  5. Step 5: Solve for x
    x = 57,503,343,192.89/295,778
  6. Step 6: Final answer
    x = 194,413.86

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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.