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Finding the Fourth Proportional to 1,259,789.22, 1,890,467.51 and 511,835.22

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Solution

The fourth proportional to 1,259,789.22, 1,890,467.51 and 511,835.22 is: 768,071.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259,789.22 : 1,890,467.51 = 511,835.22 : x
  2. Step 2: Convert to fraction form
    1,259,789.22/1,890,467.51 = 511,835.22/x
  3. Step 3: Cross multiply
    1,259,789.22x = 1,890,467.51 × 511,835.22
  4. Step 4: Simplify right side
    1,259,789.22x = 967,607,853,883.70
  5. Step 5: Solve for x
    x = 967,607,853,883.70/1,259,789.22
  6. Step 6: Final answer
    x = 768,071.23

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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.