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Finding the Fourth Proportional to 701,029.86, 967,421.67 and 378,739.83

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Solution

The fourth proportional to 701,029.86, 967,421.67 and 378,739.83 is: 522,661.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,029.86 : 967,421.67 = 378,739.83 : x
  2. Step 2: Convert to fraction form
    701,029.86/967,421.67 = 378,739.83/x
  3. Step 3: Cross multiply
    701,029.86x = 967,421.67 × 378,739.83
  4. Step 4: Simplify right side
    701,029.86x = 366,401,118,834.12
  5. Step 5: Solve for x
    x = 366,401,118,834.12/701,029.86
  6. Step 6: Final answer
    x = 522,661.22

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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.