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Finding the Fourth Proportional to 355,528.16, 490,629.74 and 194,393.60

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Solution

The fourth proportional to 355,528.16, 490,629.74 and 194,393.60 is: 268,263.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,528.16 : 490,629.74 = 194,393.60 : x
  2. Step 2: Convert to fraction form
    355,528.16/490,629.74 = 194,393.60/x
  3. Step 3: Cross multiply
    355,528.16x = 490,629.74 × 194,393.60
  4. Step 4: Simplify right side
    355,528.16x = 95,375,281,425.66
  5. Step 5: Solve for x
    x = 95,375,281,425.66/355,528.16
  6. Step 6: Final answer
    x = 268,263.65

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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.