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Finding the Fourth Proportional to 418,395, 627,592.50 and 122,907

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Solution

The fourth proportional to 418,395, 627,592.50 and 122,907 is: 184,360.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,395 : 627,592.50 = 122,907 : x
  2. Step 2: Convert to fraction form
    418,395/627,592.50 = 122,907/x
  3. Step 3: Cross multiply
    418,395x = 627,592.50 × 122,907
  4. Step 4: Simplify right side
    418,395x = 77,135,511,397.50
  5. Step 5: Solve for x
    x = 77,135,511,397.50/418,395
  6. Step 6: Final answer
    x = 184,360.50

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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.