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Finding the Fourth Proportional to 311,935.16, 430,471.81 and 168,695.20

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Solution

The fourth proportional to 311,935.16, 430,471.81 and 168,695.20 is: 232,800.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,935.16 : 430,471.81 = 168,695.20 : x
  2. Step 2: Convert to fraction form
    311,935.16/430,471.81 = 168,695.20/x
  3. Step 3: Cross multiply
    311,935.16x = 430,471.81 × 168,695.20
  4. Step 4: Simplify right side
    311,935.16x = 72,618,527,620.57
  5. Step 5: Solve for x
    x = 72,618,527,620.57/311,935.16
  6. Step 6: Final answer
    x = 232,800.07

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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.