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Finding the Fourth Proportional to 385,448.67, 578,173.01 and 132,735.38

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Solution

The fourth proportional to 385,448.67, 578,173.01 and 132,735.38 is: 199,103.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,448.67 : 578,173.01 = 132,735.38 : x
  2. Step 2: Convert to fraction form
    385,448.67/578,173.01 = 132,735.38/x
  3. Step 3: Cross multiply
    385,448.67x = 578,173.01 × 132,735.38
  4. Step 4: Simplify right side
    385,448.67x = 76,744,010,633.55
  5. Step 5: Solve for x
    x = 76,744,010,633.55/385,448.67
  6. Step 6: Final answer
    x = 199,103.06

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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.