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Finding the Fourth Proportional to 418,173.62, 627,165.86 and 193,410.72

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Solution

The fourth proportional to 418,173.62, 627,165.86 and 193,410.72 is: 290,072.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,173.62 : 627,165.86 = 193,410.72 : x
  2. Step 2: Convert to fraction form
    418,173.62/627,165.86 = 193,410.72/x
  3. Step 3: Cross multiply
    418,173.62x = 627,165.86 × 193,410.72
  4. Step 4: Simplify right side
    418,173.62x = 121,300,599,574.97
  5. Step 5: Solve for x
    x = 121,300,599,574.97/418,173.62
  6. Step 6: Final answer
    x = 290,072.34

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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.