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Finding the Fourth Proportional to 301,435.49, 415,979.33 and 165,471.75

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Solution

The fourth proportional to 301,435.49, 415,979.33 and 165,471.75 is: 228,350.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,435.49 : 415,979.33 = 165,471.75 : x
  2. Step 2: Convert to fraction form
    301,435.49/415,979.33 = 165,471.75/x
  3. Step 3: Cross multiply
    301,435.49x = 415,979.33 × 165,471.75
  4. Step 4: Simplify right side
    301,435.49x = 68,832,827,698.93
  5. Step 5: Solve for x
    x = 68,832,827,698.93/301,435.49
  6. Step 6: Final answer
    x = 228,350.11

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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.