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Finding the Fourth Proportional to 382,581.40, 573,847.80 and 129,861.40

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Solution

The fourth proportional to 382,581.40, 573,847.80 and 129,861.40 is: 194,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,581.40 : 573,847.80 = 129,861.40 : x
  2. Step 2: Convert to fraction form
    382,581.40/573,847.80 = 129,861.40/x
  3. Step 3: Cross multiply
    382,581.40x = 573,847.80 × 129,861.40
  4. Step 4: Simplify right side
    382,581.40x = 74,520,678,694.92
  5. Step 5: Solve for x
    x = 74,520,678,694.92/382,581.40
  6. Step 6: Final answer
    x = 194,783.85

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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.