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Finding the Fourth Proportional to 355,177.98, 490,146.12 and 194,035.77

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Solution

The fourth proportional to 355,177.98, 490,146.12 and 194,035.77 is: 267,769.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,177.98 : 490,146.12 = 194,035.77 : x
  2. Step 2: Convert to fraction form
    355,177.98/490,146.12 = 194,035.77/x
  3. Step 3: Cross multiply
    355,177.98x = 490,146.12 × 194,035.77
  4. Step 4: Simplify right side
    355,177.98x = 95,105,879,806.71
  5. Step 5: Solve for x
    x = 95,105,879,806.71/355,177.98
  6. Step 6: Final answer
    x = 267,769.64

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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.