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Finding the Fourth Proportional to 403,913.54, 605,871.75 and 123,429.62

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Solution

The fourth proportional to 403,913.54, 605,871.75 and 123,429.62 is: 185,144.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,913.54 : 605,871.75 = 123,429.62 : x
  2. Step 2: Convert to fraction form
    403,913.54/605,871.75 = 123,429.62/x
  3. Step 3: Cross multiply
    403,913.54x = 605,871.75 × 123,429.62
  4. Step 4: Simplify right side
    403,913.54x = 74,782,519,871.24
  5. Step 5: Solve for x
    x = 74,782,519,871.24/403,913.54
  6. Step 6: Final answer
    x = 185,144.87

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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.