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Finding the Fourth Proportional to 382,029.45, 572,687.90 and 129,133.98

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Solution

The fourth proportional to 382,029.45, 572,687.90 and 129,133.98 is: 193,580.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,029.45 : 572,687.90 = 129,133.98 : x
  2. Step 2: Convert to fraction form
    382,029.45/572,687.90 = 129,133.98/x
  3. Step 3: Cross multiply
    382,029.45x = 572,687.90 × 129,133.98
  4. Step 4: Simplify right side
    382,029.45x = 73,953,467,179.17
  5. Step 5: Solve for x
    x = 73,953,467,179.17/382,029.45
  6. Step 6: Final answer
    x = 193,580.54

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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.