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Finding the Fourth Proportional to 550,998.12, 825,708.72 and 313,851.24

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Solution

The fourth proportional to 550,998.12, 825,708.72 and 313,851.24 is: 470,327.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,998.12 : 825,708.72 = 313,851.24 : x
  2. Step 2: Convert to fraction form
    550,998.12/825,708.72 = 313,851.24/x
  3. Step 3: Cross multiply
    550,998.12x = 825,708.72 × 313,851.24
  4. Step 4: Simplify right side
    550,998.12x = 259,149,705,650.81
  5. Step 5: Solve for x
    x = 259,149,705,650.81/550,998.12
  6. Step 6: Final answer
    x = 470,327.75

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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.