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Finding the Fourth Proportional to 512,996.16, 769,494.44 and 133,915.84

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Solution

The fourth proportional to 512,996.16, 769,494.44 and 133,915.84 is: 200,873.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,996.16 : 769,494.44 = 133,915.84 : x
  2. Step 2: Convert to fraction form
    512,996.16/769,494.44 = 133,915.84/x
  3. Step 3: Cross multiply
    512,996.16x = 769,494.44 × 133,915.84
  4. Step 4: Simplify right side
    512,996.16x = 103,047,494,307.93
  5. Step 5: Solve for x
    x = 103,047,494,307.93/512,996.16
  6. Step 6: Final answer
    x = 200,873.81

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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.