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Finding the Fourth Proportional to 303,775.04, 419,215.20 and 167,816

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Solution

The fourth proportional to 303,775.04, 419,215.20 and 167,816 is: 231,589.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,775.04 : 419,215.20 = 167,816 : x
  2. Step 2: Convert to fraction form
    303,775.04/419,215.20 = 167,816/x
  3. Step 3: Cross multiply
    303,775.04x = 419,215.20 × 167,816
  4. Step 4: Simplify right side
    303,775.04x = 70,351,018,003.20
  5. Step 5: Solve for x
    x = 70,351,018,003.20/303,775.04
  6. Step 6: Final answer
    x = 231,589.20

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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.