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Finding the Fourth Proportional to 418,394, 627,591 and 122,906

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Solution

The fourth proportional to 418,394, 627,591 and 122,906 is: 184,359

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,394 : 627,591 = 122,906 : x
  2. Step 2: Convert to fraction form
    418,394/627,591 = 122,906/x
  3. Step 3: Cross multiply
    418,394x = 627,591 × 122,906
  4. Step 4: Simplify right side
    418,394x = 77,134,699,446
  5. Step 5: Solve for x
    x = 77,134,699,446/418,394
  6. Step 6: Final answer
    x = 184,359

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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.