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Finding the Fourth Proportional to 355,190.78, 490,197.04 and 194,070.02

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Solution

The fourth proportional to 355,190.78, 490,197.04 and 194,070.02 is: 267,835.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,190.78 : 490,197.04 = 194,070.02 : x
  2. Step 2: Convert to fraction form
    355,190.78/490,197.04 = 194,070.02/x
  3. Step 3: Cross multiply
    355,190.78x = 490,197.04 × 194,070.02
  4. Step 4: Simplify right side
    355,190.78x = 95,132,549,356.74
  5. Step 5: Solve for x
    x = 95,132,549,356.74/355,190.78
  6. Step 6: Final answer
    x = 267,835.08

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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.