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Finding the Fourth Proportional to 382,809, 574,218.36 and 133,491

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Solution

The fourth proportional to 382,809, 574,218.36 and 133,491 is: 200,238.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,809 : 574,218.36 = 133,491 : x
  2. Step 2: Convert to fraction form
    382,809/574,218.36 = 133,491/x
  3. Step 3: Cross multiply
    382,809x = 574,218.36 × 133,491
  4. Step 4: Simplify right side
    382,809x = 76,652,983,094.76
  5. Step 5: Solve for x
    x = 76,652,983,094.76/382,809
  6. Step 6: Final answer
    x = 200,238.19

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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.