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Finding the Fourth Proportional to 382,827, 574,245.36 and 133,509

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Solution

The fourth proportional to 382,827, 574,245.36 and 133,509 is: 200,265.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,827 : 574,245.36 = 133,509 : x
  2. Step 2: Convert to fraction form
    382,827/574,245.36 = 133,509/x
  3. Step 3: Cross multiply
    382,827x = 574,245.36 × 133,509
  4. Step 4: Simplify right side
    382,827x = 76,666,923,768.24
  5. Step 5: Solve for x
    x = 76,666,923,768.24/382,827
  6. Step 6: Final answer
    x = 200,265.19

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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.