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Finding the Fourth Proportional to 632,780, 949,181.88 and 295,728.20

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Solution

The fourth proportional to 632,780, 949,181.88 and 295,728.20 is: 443,597.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,780 : 949,181.88 = 295,728.20 : x
  2. Step 2: Convert to fraction form
    632,780/949,181.88 = 295,728.20/x
  3. Step 3: Cross multiply
    632,780x = 949,181.88 × 295,728.20
  4. Step 4: Simplify right side
    632,780x = 280,699,848,845.02
  5. Step 5: Solve for x
    x = 280,699,848,845.02/632,780
  6. Step 6: Final answer
    x = 443,597.85

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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.