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Finding the Fourth Proportional to 312,780.02, 431,637.15 and 169,539.41

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Solution

The fourth proportional to 312,780.02, 431,637.15 and 169,539.41 is: 233,964.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,780.02 : 431,637.15 = 169,539.41 : x
  2. Step 2: Convert to fraction form
    312,780.02/431,637.15 = 169,539.41/x
  3. Step 3: Cross multiply
    312,780.02x = 431,637.15 × 169,539.41
  4. Step 4: Simplify right side
    312,780.02x = 73,179,507,745.08
  5. Step 5: Solve for x
    x = 73,179,507,745.08/312,780.02
  6. Step 6: Final answer
    x = 233,964.78

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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.