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Finding the Fourth Proportional to 418,821.80, 628,224.59 and 119,304.32

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Solution

The fourth proportional to 418,821.80, 628,224.59 and 119,304.32 is: 178,954.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,821.80 : 628,224.59 = 119,304.32 : x
  2. Step 2: Convert to fraction form
    418,821.80/628,224.59 = 119,304.32/x
  3. Step 3: Cross multiply
    418,821.80x = 628,224.59 × 119,304.32
  4. Step 4: Simplify right side
    418,821.80x = 74,949,904,674.37
  5. Step 5: Solve for x
    x = 74,949,904,674.37/418,821.80
  6. Step 6: Final answer
    x = 178,954.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.