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Finding the Fourth Proportional to 511,277,020.20, 766,915,530.30 and 429,647,682.60

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Solution

The fourth proportional to 511,277,020.20, 766,915,530.30 and 429,647,682.60 is: 644,471,523.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,277,020.20 : 766,915,530.30 = 429,647,682.60 : x
  2. Step 2: Convert to fraction form
    511,277,020.20/766,915,530.30 = 429,647,682.60/x
  3. Step 3: Cross multiply
    511,277,020.20x = 766,915,530.30 × 429,647,682.60
  4. Step 4: Simplify right side
    511,277,020.20x = 329,503,480,343,345,088
  5. Step 5: Solve for x
    x = 329,503,480,343,345,088/511,277,020.20
  6. Step 6: Final answer
    x = 644,471,523.90

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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.