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Finding the Fourth Proportional to 568,095.86, 783,971.70 and 313,447.03

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Solution

The fourth proportional to 568,095.86, 783,971.70 and 313,447.03 is: 432,556.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,095.86 : 783,971.70 = 313,447.03 : x
  2. Step 2: Convert to fraction form
    568,095.86/783,971.70 = 313,447.03/x
  3. Step 3: Cross multiply
    568,095.86x = 783,971.70 × 313,447.03
  4. Step 4: Simplify right side
    568,095.86x = 245,733,600,969.05
  5. Step 5: Solve for x
    x = 245,733,600,969.05/568,095.86
  6. Step 6: Final answer
    x = 432,556.58

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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.