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Finding the Fourth Proportional to 312,306.09, 430,982.31 and 169,066.03

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Solution

The fourth proportional to 312,306.09, 430,982.31 and 169,066.03 is: 233,311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,306.09 : 430,982.31 = 169,066.03 : x
  2. Step 2: Convert to fraction form
    312,306.09/430,982.31 = 169,066.03/x
  3. Step 3: Cross multiply
    312,306.09x = 430,982.31 × 169,066.03
  4. Step 4: Simplify right side
    312,306.09x = 72,864,467,708.47
  5. Step 5: Solve for x
    x = 72,864,467,708.47/312,306.09
  6. Step 6: Final answer
    x = 233,311.07

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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.