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Finding the Fourth Proportional to 301,309.59, 415,806.10 and 165,345.83

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Solution

The fourth proportional to 301,309.59, 415,806.10 and 165,345.83 is: 228,176.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,309.59 : 415,806.10 = 165,345.83 : x
  2. Step 2: Convert to fraction form
    301,309.59/415,806.10 = 165,345.83/x
  3. Step 3: Cross multiply
    301,309.59x = 415,806.10 × 165,345.83
  4. Step 4: Simplify right side
    301,309.59x = 68,751,804,723.56
  5. Step 5: Solve for x
    x = 68,751,804,723.56/301,309.59
  6. Step 6: Final answer
    x = 228,176.62

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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.