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Finding the Fourth Proportional to 312,898.19, 431,795.31 and 169,655.15

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Solution

The fourth proportional to 312,898.19, 431,795.31 and 169,655.15 is: 234,121.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,898.19 : 431,795.31 = 169,655.15 : x
  2. Step 2: Convert to fraction form
    312,898.19/431,795.31 = 169,655.15/x
  3. Step 3: Cross multiply
    312,898.19x = 431,795.31 × 169,655.15
  4. Step 4: Simplify right side
    312,898.19x = 73,256,295,928.37
  5. Step 5: Solve for x
    x = 73,256,295,928.37/312,898.19
  6. Step 6: Final answer
    x = 234,121.83

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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.