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Finding the Fourth Proportional to 630,842.22, 945,294.19 and 428,174.75

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Solution

The fourth proportional to 630,842.22, 945,294.19 and 428,174.75 is: 641,604.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,842.22 : 945,294.19 = 428,174.75 : x
  2. Step 2: Convert to fraction form
    630,842.22/945,294.19 = 428,174.75/x
  3. Step 3: Cross multiply
    630,842.22x = 945,294.19 × 428,174.75
  4. Step 4: Simplify right side
    630,842.22x = 404,751,104,772.50
  5. Step 5: Solve for x
    x = 404,751,104,772.50/630,842.22
  6. Step 6: Final answer
    x = 641,604.34

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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.