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Finding the Fourth Proportional to 436,409.40, 654,812.82 and 211,648.44

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Solution

The fourth proportional to 436,409.40, 654,812.82 and 211,648.44 is: 317,569.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,409.40 : 654,812.82 = 211,648.44 : x
  2. Step 2: Convert to fraction form
    436,409.40/654,812.82 = 211,648.44/x
  3. Step 3: Cross multiply
    436,409.40x = 654,812.82 × 211,648.44
  4. Step 4: Simplify right side
    436,409.40x = 138,590,111,845.00
  5. Step 5: Solve for x
    x = 138,590,111,845.00/436,409.40
  6. Step 6: Final answer
    x = 317,569.03

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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.