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Finding the Fourth Proportional to 311,696.24, 430,142.76 and 168,455.92

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Solution

The fourth proportional to 311,696.24, 430,142.76 and 168,455.92 is: 232,470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,696.24 : 430,142.76 = 168,455.92 : x
  2. Step 2: Convert to fraction form
    311,696.24/430,142.76 = 168,455.92/x
  3. Step 3: Cross multiply
    311,696.24x = 430,142.76 × 168,455.92
  4. Step 4: Simplify right side
    311,696.24x = 72,460,094,367.14
  5. Step 5: Solve for x
    x = 72,460,094,367.14/311,696.24
  6. Step 6: Final answer
    x = 232,470.22

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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.