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Finding the Fourth Proportional to 369,075.26, 509,255.61 and 216,105.54

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Solution

The fourth proportional to 369,075.26, 509,255.61 and 216,105.54 is: 298,185.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,075.26 : 509,255.61 = 216,105.54 : x
  2. Step 2: Convert to fraction form
    369,075.26/509,255.61 = 216,105.54/x
  3. Step 3: Cross multiply
    369,075.26x = 509,255.61 × 216,105.54
  4. Step 4: Simplify right side
    369,075.26x = 110,052,958,597.08
  5. Step 5: Solve for x
    x = 110,052,958,597.08/369,075.26
  6. Step 6: Final answer
    x = 298,185.69

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1.5x scale

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.