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Finding the Fourth Proportional to 301,434.99, 415,978.64 and 165,471.25

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Solution

The fourth proportional to 301,434.99, 415,978.64 and 165,471.25 is: 228,349.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,434.99 : 415,978.64 = 165,471.25 : x
  2. Step 2: Convert to fraction form
    301,434.99/415,978.64 = 165,471.25/x
  3. Step 3: Cross multiply
    301,434.99x = 415,978.64 × 165,471.25
  4. Step 4: Simplify right side
    301,434.99x = 68,832,505,947.78
  5. Step 5: Solve for x
    x = 68,832,505,947.78/301,434.99
  6. Step 6: Final answer
    x = 228,349.42

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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.