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Finding the Fourth Proportional to 301,308.49, 415,804.57 and 165,344.71

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Solution

The fourth proportional to 301,308.49, 415,804.57 and 165,344.71 is: 228,175.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,308.49 : 415,804.57 = 165,344.71 : x
  2. Step 2: Convert to fraction form
    301,308.49/415,804.57 = 165,344.71/x
  3. Step 3: Cross multiply
    301,308.49x = 415,804.57 × 165,344.71
  4. Step 4: Simplify right side
    301,308.49x = 68,751,086,043.32
  5. Step 5: Solve for x
    x = 68,751,086,043.32/301,308.49
  6. Step 6: Final answer
    x = 228,175.07

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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.