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Finding the Fourth Proportional to 355,328.46, 490,354.56 and 194,185.98

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Solution

The fourth proportional to 355,328.46, 490,354.56 and 194,185.98 is: 267,977.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,328.46 : 490,354.56 = 194,185.98 : x
  2. Step 2: Convert to fraction form
    355,328.46/490,354.56 = 194,185.98/x
  3. Step 3: Cross multiply
    355,328.46x = 490,354.56 × 194,185.98
  4. Step 4: Simplify right side
    355,328.46x = 95,219,980,781.07
  5. Step 5: Solve for x
    x = 95,219,980,781.07/355,328.46
  6. Step 6: Final answer
    x = 267,977.35

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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.