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Finding the Fourth Proportional to 465,660.87, 642,769.34 and 302,540.55

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Solution

The fourth proportional to 465,660.87, 642,769.34 and 302,540.55 is: 417,608.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,660.87 : 642,769.34 = 302,540.55 : x
  2. Step 2: Convert to fraction form
    465,660.87/642,769.34 = 302,540.55/x
  3. Step 3: Cross multiply
    465,660.87x = 642,769.34 × 302,540.55
  4. Step 4: Simplify right side
    465,660.87x = 194,463,788,134.03
  5. Step 5: Solve for x
    x = 194,463,788,134.03/465,660.87
  6. Step 6: Final answer
    x = 417,608.18

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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.