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Finding the Fourth Proportional to 418,591.76, 627,887.64 and 123,103.76

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Solution

The fourth proportional to 418,591.76, 627,887.64 and 123,103.76 is: 184,655.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,591.76 : 627,887.64 = 123,103.76 : x
  2. Step 2: Convert to fraction form
    418,591.76/627,887.64 = 123,103.76/x
  3. Step 3: Cross multiply
    418,591.76x = 627,887.64 × 123,103.76
  4. Step 4: Simplify right side
    418,591.76x = 77,295,329,341.53
  5. Step 5: Solve for x
    x = 77,295,329,341.53/418,591.76
  6. Step 6: Final answer
    x = 184,655.64

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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.