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Finding the Fourth Proportional to 323,769, 485,536.84 and 136,795.08

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Solution

The fourth proportional to 323,769, 485,536.84 and 136,795.08 is: 205,143.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,769 : 485,536.84 = 136,795.08 : x
  2. Step 2: Convert to fraction form
    323,769/485,536.84 = 136,795.08/x
  3. Step 3: Cross multiply
    323,769x = 485,536.84 × 136,795.08
  4. Step 4: Simplify right side
    323,769x = 66,419,050,870.75
  5. Step 5: Solve for x
    x = 66,419,050,870.75/323,769
  6. Step 6: Final answer
    x = 205,143.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.