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Finding the Fourth Proportional to 355,533.12, 490,642.79 and 194,398.20

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Solution

The fourth proportional to 355,533.12, 490,642.79 and 194,398.20 is: 268,273.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,533.12 : 490,642.79 = 194,398.20 : x
  2. Step 2: Convert to fraction form
    355,533.12/490,642.79 = 194,398.20/x
  3. Step 3: Cross multiply
    355,533.12x = 490,642.79 × 194,398.20
  4. Step 4: Simplify right side
    355,533.12x = 95,380,074,246.99
  5. Step 5: Solve for x
    x = 95,380,074,246.99/355,533.12
  6. Step 6: Final answer
    x = 268,273.39

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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.