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Finding the Fourth Proportional to 713,696.90, 984,900.21 and 411,890.90

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Solution

The fourth proportional to 713,696.90, 984,900.21 and 411,890.90 is: 568,408.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,696.90 : 984,900.21 = 411,890.90 : x
  2. Step 2: Convert to fraction form
    713,696.90/984,900.21 = 411,890.90/x
  3. Step 3: Cross multiply
    713,696.90x = 984,900.21 × 411,890.90
  4. Step 4: Simplify right side
    713,696.90x = 405,671,433,907.09
  5. Step 5: Solve for x
    x = 405,671,433,907.09/713,696.90
  6. Step 6: Final answer
    x = 568,408.57

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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.