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Finding the Fourth Proportional to 355,082, 490,013.14 and 193,937.43

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Solution

The fourth proportional to 355,082, 490,013.14 and 193,937.43 is: 267,633.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,082 : 490,013.14 = 193,937.43 : x
  2. Step 2: Convert to fraction form
    355,082/490,013.14 = 193,937.43/x
  3. Step 3: Cross multiply
    355,082x = 490,013.14 × 193,937.43
  4. Step 4: Simplify right side
    355,082x = 95,031,888,068.14
  5. Step 5: Solve for x
    x = 95,031,888,068.14/355,082
  6. Step 6: Final answer
    x = 267,633.64

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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.