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Finding the Fourth Proportional to 456,816.89, 685,365.48 and 204,309.78

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Solution

The fourth proportional to 456,816.89, 685,365.48 and 204,309.78 is: 306,527.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,816.89 : 685,365.48 = 204,309.78 : x
  2. Step 2: Convert to fraction form
    456,816.89/685,365.48 = 204,309.78/x
  3. Step 3: Cross multiply
    456,816.89x = 685,365.48 × 204,309.78
  4. Step 4: Simplify right side
    456,816.89x = 140,026,870,438.39
  5. Step 5: Solve for x
    x = 140,026,870,438.39/456,816.89
  6. Step 6: Final answer
    x = 306,527.35

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1.5x scale

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.