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Finding the Fourth Proportional to 403,896.96, 605,845.44 and 123,411.78

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Solution

The fourth proportional to 403,896.96, 605,845.44 and 123,411.78 is: 185,117.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,896.96 : 605,845.44 = 123,411.78 : x
  2. Step 2: Convert to fraction form
    403,896.96/605,845.44 = 123,411.78/x
  3. Step 3: Cross multiply
    403,896.96x = 605,845.44 × 123,411.78
  4. Step 4: Simplify right side
    403,896.96x = 74,768,461,126.06
  5. Step 5: Solve for x
    x = 74,768,461,126.06/403,896.96
  6. Step 6: Final answer
    x = 185,117.66

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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.