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Finding the Fourth Proportional to 312,204.51, 430,842.20 and 168,964.58

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Solution

The fourth proportional to 312,204.51, 430,842.20 and 168,964.58 is: 233,171.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,204.51 : 430,842.20 = 168,964.58 : x
  2. Step 2: Convert to fraction form
    312,204.51/430,842.20 = 168,964.58/x
  3. Step 3: Cross multiply
    312,204.51x = 430,842.20 × 168,964.58
  4. Step 4: Simplify right side
    312,204.51x = 72,797,071,601.56
  5. Step 5: Solve for x
    x = 72,797,071,601.56/312,204.51
  6. Step 6: Final answer
    x = 233,171.11

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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.