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Finding the Fourth Proportional to 309,546, 427,173.48 and 182,299.86

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Solution

The fourth proportional to 309,546, 427,173.48 and 182,299.86 is: 251,573.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,546 : 427,173.48 = 182,299.86 : x
  2. Step 2: Convert to fraction form
    309,546/427,173.48 = 182,299.86/x
  3. Step 3: Cross multiply
    309,546x = 427,173.48 × 182,299.86
  4. Step 4: Simplify right side
    309,546x = 77,873,665,599.71
  5. Step 5: Solve for x
    x = 77,873,665,599.71/309,546
  6. Step 6: Final answer
    x = 251,573.81

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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.