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Finding the Fourth Proportional to 289,911.50, 399,941.70 and 205,075.34

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Solution

The fourth proportional to 289,911.50, 399,941.70 and 205,075.34 is: 282,907.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,911.50 : 399,941.70 = 205,075.34 : x
  2. Step 2: Convert to fraction form
    289,911.50/399,941.70 = 205,075.34/x
  3. Step 3: Cross multiply
    289,911.50x = 399,941.70 × 205,075.34
  4. Step 4: Simplify right side
    289,911.50x = 82,018,180,107.68
  5. Step 5: Solve for x
    x = 82,018,180,107.68/289,911.50
  6. Step 6: Final answer
    x = 282,907.65

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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.