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Finding the Fourth Proportional to 426,990.78, 639,968.29 and 313,619.77

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Solution

The fourth proportional to 426,990.78, 639,968.29 and 313,619.77 is: 470,049.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,990.78 : 639,968.29 = 313,619.77 : x
  2. Step 2: Convert to fraction form
    426,990.78/639,968.29 = 313,619.77/x
  3. Step 3: Cross multiply
    426,990.78x = 639,968.29 × 313,619.77
  4. Step 4: Simplify right side
    426,990.78x = 200,706,707,917.09
  5. Step 5: Solve for x
    x = 200,706,707,917.09/426,990.78
  6. Step 6: Final answer
    x = 470,049.28

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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.