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Finding the Fourth Proportional to 382,380.30, 573,581.34 and 129,661.50

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Solution

The fourth proportional to 382,380.30, 573,581.34 and 129,661.50 is: 194,495.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,380.30 : 573,581.34 = 129,661.50 : x
  2. Step 2: Convert to fraction form
    382,380.30/573,581.34 = 129,661.50/x
  3. Step 3: Cross multiply
    382,380.30x = 573,581.34 × 129,661.50
  4. Step 4: Simplify right side
    382,380.30x = 74,371,416,916.41
  5. Step 5: Solve for x
    x = 74,371,416,916.41/382,380.30
  6. Step 6: Final answer
    x = 194,495.94

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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.