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Finding the Fourth Proportional to 403,606.80, 605,388.24 and 123,102

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Solution

The fourth proportional to 403,606.80, 605,388.24 and 123,102 is: 184,646.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,606.80 : 605,388.24 = 123,102 : x
  2. Step 2: Convert to fraction form
    403,606.80/605,388.24 = 123,102/x
  3. Step 3: Cross multiply
    403,606.80x = 605,388.24 × 123,102
  4. Step 4: Simplify right side
    403,606.80x = 74,524,503,120.48
  5. Step 5: Solve for x
    x = 74,524,503,120.48/403,606.80
  6. Step 6: Final answer
    x = 184,646.30

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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.