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Finding the Fourth Proportional to 312,933.83, 431,851.38 and 169,693.88

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Solution

The fourth proportional to 312,933.83, 431,851.38 and 169,693.88 is: 234,179.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,933.83 : 431,851.38 = 169,693.88 : x
  2. Step 2: Convert to fraction form
    312,933.83/431,851.38 = 169,693.88/x
  3. Step 3: Cross multiply
    312,933.83x = 431,851.38 × 169,693.88
  4. Step 4: Simplify right side
    312,933.83x = 73,282,534,096.30
  5. Step 5: Solve for x
    x = 73,282,534,096.30/312,933.83
  6. Step 6: Final answer
    x = 234,179.01

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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.