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Finding the Fourth Proportional to 400,428.90, 552,584.49 and 219,137.17

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Solution

The fourth proportional to 400,428.90, 552,584.49 and 219,137.17 is: 302,405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,428.90 : 552,584.49 = 219,137.17 : x
  2. Step 2: Convert to fraction form
    400,428.90/552,584.49 = 219,137.17/x
  3. Step 3: Cross multiply
    400,428.90x = 552,584.49 × 219,137.17
  4. Step 4: Simplify right side
    400,428.90x = 121,091,801,324.49
  5. Step 5: Solve for x
    x = 121,091,801,324.49/400,428.90
  6. Step 6: Final answer
    x = 302,405.25

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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.