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Finding the Fourth Proportional to 385,768.85, 578,691.36 and 133,016.09

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Solution

The fourth proportional to 385,768.85, 578,691.36 and 133,016.09 is: 199,537.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,768.85 : 578,691.36 = 133,016.09 : x
  2. Step 2: Convert to fraction form
    385,768.85/578,691.36 = 133,016.09/x
  3. Step 3: Cross multiply
    385,768.85x = 578,691.36 × 133,016.09
  4. Step 4: Simplify right side
    385,768.85x = 76,975,259,130.53
  5. Step 5: Solve for x
    x = 76,975,259,130.53/385,768.85
  6. Step 6: Final answer
    x = 199,537.26

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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.