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Finding the Fourth Proportional to 568,100.32, 783,994.86 and 313,467.91

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Solution

The fourth proportional to 568,100.32, 783,994.86 and 313,467.91 is: 432,594.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,100.32 : 783,994.86 = 313,467.91 : x
  2. Step 2: Convert to fraction form
    568,100.32/783,994.86 = 313,467.91/x
  3. Step 3: Cross multiply
    568,100.32x = 783,994.86 × 313,467.91
  4. Step 4: Simplify right side
    568,100.32x = 245,757,228,254.96
  5. Step 5: Solve for x
    x = 245,757,228,254.96/568,100.32
  6. Step 6: Final answer
    x = 432,594.77

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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.