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Finding the Fourth Proportional to 355,698.12, 490,857 and 194,549.58

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Solution

The fourth proportional to 355,698.12, 490,857 and 194,549.58 is: 268,474.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,698.12 : 490,857 = 194,549.58 : x
  2. Step 2: Convert to fraction form
    355,698.12/490,857 = 194,549.58/x
  3. Step 3: Cross multiply
    355,698.12x = 490,857 × 194,549.58
  4. Step 4: Simplify right side
    355,698.12x = 95,496,023,190.06
  5. Step 5: Solve for x
    x = 95,496,023,190.06/355,698.12
  6. Step 6: Final answer
    x = 268,474.92

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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.