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Finding the Fourth Proportional to 355,139.76, 490,071.60 and 193,962.72

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Solution

The fourth proportional to 355,139.76, 490,071.60 and 193,962.72 is: 267,656.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,139.76 : 490,071.60 = 193,962.72 : x
  2. Step 2: Convert to fraction form
    355,139.76/490,071.60 = 193,962.72/x
  3. Step 3: Cross multiply
    355,139.76x = 490,071.60 × 193,962.72
  4. Step 4: Simplify right side
    355,139.76x = 95,055,620,530.75
  5. Step 5: Solve for x
    x = 95,055,620,530.75/355,139.76
  6. Step 6: Final answer
    x = 267,656.94

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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.