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Finding the Fourth Proportional to 355,836.90, 491,050.50 and 194,689.62

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Solution

The fourth proportional to 355,836.90, 491,050.50 and 194,689.62 is: 268,669.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,836.90 : 491,050.50 = 194,689.62 : x
  2. Step 2: Convert to fraction form
    355,836.90/491,050.50 = 194,689.62/x
  3. Step 3: Cross multiply
    355,836.90x = 491,050.50 × 194,689.62
  4. Step 4: Simplify right side
    355,836.90x = 95,602,435,245.81
  5. Step 5: Solve for x
    x = 95,602,435,245.81/355,836.90
  6. Step 6: Final answer
    x = 268,669.26

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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.