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Finding the Fourth Proportional to 426,992.78, 639,971.30 and 313,621.77

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Solution

The fourth proportional to 426,992.78, 639,971.30 and 313,621.77 is: 470,052.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,992.78 : 639,971.30 = 313,621.77 : x
  2. Step 2: Convert to fraction form
    426,992.78/639,971.30 = 313,621.77/x
  3. Step 3: Cross multiply
    426,992.78x = 639,971.30 × 313,621.77
  4. Step 4: Simplify right side
    426,992.78x = 200,708,930,287.09
  5. Step 5: Solve for x
    x = 200,708,930,287.09/426,992.78
  6. Step 6: Final answer
    x = 470,052.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.