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Finding the Fourth Proportional to 312,162, 430,646.28 and 183,034.56

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Solution

The fourth proportional to 312,162, 430,646.28 and 183,034.56 is: 252,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,162 : 430,646.28 = 183,034.56 : x
  2. Step 2: Convert to fraction form
    312,162/430,646.28 = 183,034.56/x
  3. Step 3: Cross multiply
    312,162x = 430,646.28 × 183,034.56
  4. Step 4: Simplify right side
    312,162x = 78,823,152,375.44
  5. Step 5: Solve for x
    x = 78,823,152,375.44/312,162
  6. Step 6: Final answer
    x = 252,507.20

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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.