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Finding the Fourth Proportional to 355,224.20, 490,203.66 and 194,075.78

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Solution

The fourth proportional to 355,224.20, 490,203.66 and 194,075.78 is: 267,821.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,224.20 : 490,203.66 = 194,075.78 : x
  2. Step 2: Convert to fraction form
    355,224.20/490,203.66 = 194,075.78/x
  3. Step 3: Cross multiply
    355,224.20x = 490,203.66 × 194,075.78
  4. Step 4: Simplify right side
    355,224.20x = 95,136,657,673.35
  5. Step 5: Solve for x
    x = 95,136,657,673.35/355,224.20
  6. Step 6: Final answer
    x = 267,821.44

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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.