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Finding the Fourth Proportional to 312,582.12, 431,361.60 and 169,344.96

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Solution

The fourth proportional to 312,582.12, 431,361.60 and 169,344.96 is: 233,695.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,582.12 : 431,361.60 = 169,344.96 : x
  2. Step 2: Convert to fraction form
    312,582.12/431,361.60 = 169,344.96/x
  3. Step 3: Cross multiply
    312,582.12x = 431,361.60 × 169,344.96
  4. Step 4: Simplify right side
    312,582.12x = 73,048,912,897.54
  5. Step 5: Solve for x
    x = 73,048,912,897.54/312,582.12
  6. Step 6: Final answer
    x = 233,695.11

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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.