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Finding the Fourth Proportional to 305,769.42, 458,609.58 and 81,143.46

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Solution

The fourth proportional to 305,769.42, 458,609.58 and 81,143.46 is: 121,703.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,769.42 : 458,609.58 = 81,143.46 : x
  2. Step 2: Convert to fraction form
    305,769.42/458,609.58 = 81,143.46/x
  3. Step 3: Cross multiply
    305,769.42x = 458,609.58 × 81,143.46
  4. Step 4: Simplify right side
    305,769.42x = 37,213,168,110.35
  5. Step 5: Solve for x
    x = 37,213,168,110.35/305,769.42
  6. Step 6: Final answer
    x = 121,703.37

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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.