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Finding the Fourth Proportional to 355,320.46, 490,343.52 and 194,177.98

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Solution

The fourth proportional to 355,320.46, 490,343.52 and 194,177.98 is: 267,966.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,320.46 : 490,343.52 = 194,177.98 : x
  2. Step 2: Convert to fraction form
    355,320.46/490,343.52 = 194,177.98/x
  3. Step 3: Cross multiply
    355,320.46x = 490,343.52 × 194,177.98
  4. Step 4: Simplify right side
    355,320.46x = 95,213,914,219.69
  5. Step 5: Solve for x
    x = 95,213,914,219.69/355,320.46
  6. Step 6: Final answer
    x = 267,966.31

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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.