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Finding the Fourth Proportional to 356,038, 491,387.40 and 203,076.52

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Solution

The fourth proportional to 356,038, 491,387.40 and 203,076.52 is: 280,276.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,038 : 491,387.40 = 203,076.52 : x
  2. Step 2: Convert to fraction form
    356,038/491,387.40 = 203,076.52/x
  3. Step 3: Cross multiply
    356,038x = 491,387.40 × 203,076.52
  4. Step 4: Simplify right side
    356,038x = 99,789,243,163.85
  5. Step 5: Solve for x
    x = 99,789,243,163.85/356,038
  6. Step 6: Final answer
    x = 280,276.95

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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.