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Finding the Fourth Proportional to 381,012.90, 571,861.98 and 203,671.50

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Solution

The fourth proportional to 381,012.90, 571,861.98 and 203,671.50 is: 305,690.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,012.90 : 571,861.98 = 203,671.50 : x
  2. Step 2: Convert to fraction form
    381,012.90/571,861.98 = 203,671.50/x
  3. Step 3: Cross multiply
    381,012.90x = 571,861.98 × 203,671.50
  4. Step 4: Simplify right side
    381,012.90x = 116,471,987,259.57
  5. Step 5: Solve for x
    x = 116,471,987,259.57/381,012.90
  6. Step 6: Final answer
    x = 305,690.40

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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.