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Finding the Fourth Proportional to 355,137.06, 490,070.40 and 193,989.78

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Solution

The fourth proportional to 355,137.06, 490,070.40 and 193,989.78 is: 267,695.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,137.06 : 490,070.40 = 193,989.78 : x
  2. Step 2: Convert to fraction form
    355,137.06/490,070.40 = 193,989.78/x
  3. Step 3: Cross multiply
    355,137.06x = 490,070.40 × 193,989.78
  4. Step 4: Simplify right side
    355,137.06x = 95,068,649,080.51
  5. Step 5: Solve for x
    x = 95,068,649,080.51/355,137.06
  6. Step 6: Final answer
    x = 267,695.66

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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.