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Finding the Fourth Proportional to 426,804.82, 640,522.98 and 202,166.44

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Solution

The fourth proportional to 426,804.82, 640,522.98 and 202,166.44 is: 303,399.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,804.82 : 640,522.98 = 202,166.44 : x
  2. Step 2: Convert to fraction form
    426,804.82/640,522.98 = 202,166.44/x
  3. Step 3: Cross multiply
    426,804.82x = 640,522.98 × 202,166.44
  4. Step 4: Simplify right side
    426,804.82x = 129,492,250,604.79
  5. Step 5: Solve for x
    x = 129,492,250,604.79/426,804.82
  6. Step 6: Final answer
    x = 303,399.22

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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.