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Finding the Fourth Proportional to 309,495.20, 427,071.36 and 182,163.20

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Solution

The fourth proportional to 309,495.20, 427,071.36 and 182,163.20 is: 251,366.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,495.20 : 427,071.36 = 182,163.20 : x
  2. Step 2: Convert to fraction form
    309,495.20/427,071.36 = 182,163.20/x
  3. Step 3: Cross multiply
    309,495.20x = 427,071.36 × 182,163.20
  4. Step 4: Simplify right side
    309,495.20x = 77,796,685,565.95
  5. Step 5: Solve for x
    x = 77,796,685,565.95/309,495.20
  6. Step 6: Final answer
    x = 251,366.37

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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.