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Finding the Fourth Proportional to 456,618.76, 685,164.38 and 331,293.42

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Solution

The fourth proportional to 456,618.76, 685,164.38 and 331,293.42 is: 497,111.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,618.76 : 685,164.38 = 331,293.42 : x
  2. Step 2: Convert to fraction form
    456,618.76/685,164.38 = 331,293.42/x
  3. Step 3: Cross multiply
    456,618.76x = 685,164.38 × 331,293.42
  4. Step 4: Simplify right side
    456,618.76x = 226,990,449,055.91
  5. Step 5: Solve for x
    x = 226,990,449,055.91/456,618.76
  6. Step 6: Final answer
    x = 497,111.53

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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.