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Finding the Fourth Proportional to 356,447.74, 491,903.94 and 195,318.50

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Solution

The fourth proportional to 356,447.74, 491,903.94 and 195,318.50 is: 269,542.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,447.74 : 491,903.94 = 195,318.50 : x
  2. Step 2: Convert to fraction form
    356,447.74/491,903.94 = 195,318.50/x
  3. Step 3: Cross multiply
    356,447.74x = 491,903.94 × 195,318.50
  4. Step 4: Simplify right side
    356,447.74x = 96,077,939,704.89
  5. Step 5: Solve for x
    x = 96,077,939,704.89/356,447.74
  6. Step 6: Final answer
    x = 269,542.85

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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.