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Finding the Fourth Proportional to 403,474, 605,156.52 and 166,783.84

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Solution

The fourth proportional to 403,474, 605,156.52 and 166,783.84 is: 250,153.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,474 : 605,156.52 = 166,783.84 : x
  2. Step 2: Convert to fraction form
    403,474/605,156.52 = 166,783.84/x
  3. Step 3: Cross multiply
    403,474x = 605,156.52 × 166,783.84
  4. Step 4: Simplify right side
    403,474x = 100,930,328,206.64
  5. Step 5: Solve for x
    x = 100,930,328,206.64/403,474
  6. Step 6: Final answer
    x = 250,153.24

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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.