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Finding the Fourth Proportional to 426,802.82, 640,519.99 and 202,164.44

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Solution

The fourth proportional to 426,802.82, 640,519.99 and 202,164.44 is: 303,396.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,802.82 : 640,519.99 = 202,164.44 : x
  2. Step 2: Convert to fraction form
    426,802.82/640,519.99 = 202,164.44/x
  3. Step 3: Cross multiply
    426,802.82x = 640,519.99 × 202,164.44
  4. Step 4: Simplify right side
    426,802.82x = 129,490,361,379.15
  5. Step 5: Solve for x
    x = 129,490,361,379.15/426,802.82
  6. Step 6: Final answer
    x = 303,396.22

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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.