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Finding the Fourth Proportional to 354,572.78, 491,380.47 and 347,844.11

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Solution

The fourth proportional to 354,572.78, 491,380.47 and 347,844.11 is: 482,055.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,572.78 : 491,380.47 = 347,844.11 : x
  2. Step 2: Convert to fraction form
    354,572.78/491,380.47 = 347,844.11/x
  3. Step 3: Cross multiply
    354,572.78x = 491,380.47 × 347,844.11
  4. Step 4: Simplify right side
    354,572.78x = 170,923,803,486.98
  5. Step 5: Solve for x
    x = 170,923,803,486.98/354,572.78
  6. Step 6: Final answer
    x = 482,055.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.