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Finding the Fourth Proportional to 289,683.98, 434,558.78 and 259,918.91

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Solution

The fourth proportional to 289,683.98, 434,558.78 and 259,918.91 is: 389,907.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,683.98 : 434,558.78 = 259,918.91 : x
  2. Step 2: Convert to fraction form
    289,683.98/434,558.78 = 259,918.91/x
  3. Step 3: Cross multiply
    289,683.98x = 434,558.78 × 259,918.91
  4. Step 4: Simplify right side
    289,683.98x = 112,950,043,128.94
  5. Step 5: Solve for x
    x = 112,950,043,128.94/289,683.98
  6. Step 6: Final answer
    x = 389,907.80

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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.