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Finding the Fourth Proportional to 456,606.32, 685,071.84 and 203,864

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Solution

The fourth proportional to 456,606.32, 685,071.84 and 203,864 is: 305,868.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,606.32 : 685,071.84 = 203,864 : x
  2. Step 2: Convert to fraction form
    456,606.32/685,071.84 = 203,864/x
  3. Step 3: Cross multiply
    456,606.32x = 685,071.84 × 203,864
  4. Step 4: Simplify right side
    456,606.32x = 139,661,485,589.76
  5. Step 5: Solve for x
    x = 139,661,485,589.76/456,606.32
  6. Step 6: Final answer
    x = 305,868.49

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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.