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Finding the Fourth Proportional to 355,222.74, 490,240.68 and 194,101.66

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Solution

The fourth proportional to 355,222.74, 490,240.68 and 194,101.66 is: 267,878.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,222.74 : 490,240.68 = 194,101.66 : x
  2. Step 2: Convert to fraction form
    355,222.74/490,240.68 = 194,101.66/x
  3. Step 3: Cross multiply
    355,222.74x = 490,240.68 × 194,101.66
  4. Step 4: Simplify right side
    355,222.74x = 95,156,529,787.53
  5. Step 5: Solve for x
    x = 95,156,529,787.53/355,222.74
  6. Step 6: Final answer
    x = 267,878.49

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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.