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Finding the Fourth Proportional to 568,410.90, 784,400.94 and 313,756.62

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Solution

The fourth proportional to 568,410.90, 784,400.94 and 313,756.62 is: 432,980.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,410.90 : 784,400.94 = 313,756.62 : x
  2. Step 2: Convert to fraction form
    568,410.90/784,400.94 = 313,756.62/x
  3. Step 3: Cross multiply
    568,410.90x = 784,400.94 × 313,756.62
  4. Step 4: Simplify right side
    568,410.90x = 246,110,987,659.22
  5. Step 5: Solve for x
    x = 246,110,987,659.22/568,410.90
  6. Step 6: Final answer
    x = 432,980.77

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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.