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Finding the Fourth Proportional to 568,006.56, 783,849.01 and 313,357.75

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Solution

The fourth proportional to 568,006.56, 783,849.01 and 313,357.75 is: 432,433.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,006.56 : 783,849.01 = 313,357.75 : x
  2. Step 2: Convert to fraction form
    568,006.56/783,849.01 = 313,357.75/x
  3. Step 3: Cross multiply
    568,006.56x = 783,849.01 × 313,357.75
  4. Step 4: Simplify right side
    568,006.56x = 245,625,162,113.33
  5. Step 5: Solve for x
    x = 245,625,162,113.33/568,006.56
  6. Step 6: Final answer
    x = 432,433.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.