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Finding the Fourth Proportional to 382,990.08, 574,225.92 and 133,536

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Solution

The fourth proportional to 382,990.08, 574,225.92 and 133,536 is: 200,213.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,990.08 : 574,225.92 = 133,536 : x
  2. Step 2: Convert to fraction form
    382,990.08/574,225.92 = 133,536/x
  3. Step 3: Cross multiply
    382,990.08x = 574,225.92 × 133,536
  4. Step 4: Simplify right side
    382,990.08x = 76,679,832,453.12
  5. Step 5: Solve for x
    x = 76,679,832,453.12/382,990.08
  6. Step 6: Final answer
    x = 200,213.63

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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.