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Finding the Fourth Proportional to 309,647.52, 427,318.56 and 173,711.70

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Solution

The fourth proportional to 309,647.52, 427,318.56 and 173,711.70 is: 239,724.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,647.52 : 427,318.56 = 173,711.70 : x
  2. Step 2: Convert to fraction form
    309,647.52/427,318.56 = 173,711.70/x
  3. Step 3: Cross multiply
    309,647.52x = 427,318.56 × 173,711.70
  4. Step 4: Simplify right side
    309,647.52x = 74,230,233,499.15
  5. Step 5: Solve for x
    x = 74,230,233,499.15/309,647.52
  6. Step 6: Final answer
    x = 239,724.94

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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.