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Finding the Fourth Proportional to 312,182.56, 430,813 and 168,942.56

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Solution

The fourth proportional to 312,182.56, 430,813 and 168,942.56 is: 233,141.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,182.56 : 430,813 = 168,942.56 : x
  2. Step 2: Convert to fraction form
    312,182.56/430,813 = 168,942.56/x
  3. Step 3: Cross multiply
    312,182.56x = 430,813 × 168,942.56
  4. Step 4: Simplify right side
    312,182.56x = 72,782,651,101.28
  5. Step 5: Solve for x
    x = 72,782,651,101.28/312,182.56
  6. Step 6: Final answer
    x = 233,141.31

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1.5x scale

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.