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Finding the Fourth Proportional to 355,116.84, 490,075.65 and 204,213.84

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Solution

The fourth proportional to 355,116.84, 490,075.65 and 204,213.84 is: 281,823.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,116.84 : 490,075.65 = 204,213.84 : x
  2. Step 2: Convert to fraction form
    355,116.84/490,075.65 = 204,213.84/x
  3. Step 3: Cross multiply
    355,116.84x = 490,075.65 × 204,213.84
  4. Step 4: Simplify right side
    355,116.84x = 100,080,230,377.00
  5. Step 5: Solve for x
    x = 100,080,230,377.00/355,116.84
  6. Step 6: Final answer
    x = 281,823.39

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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.