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Finding the Fourth Proportional to 381,059.82, 570,468.26 and 254,385.80

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Solution

The fourth proportional to 381,059.82, 570,468.26 and 254,385.80 is: 380,830.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,059.82 : 570,468.26 = 254,385.80 : x
  2. Step 2: Convert to fraction form
    381,059.82/570,468.26 = 254,385.80/x
  3. Step 3: Cross multiply
    381,059.82x = 570,468.26 × 254,385.80
  4. Step 4: Simplify right side
    381,059.82x = 145,119,024,694.71
  5. Step 5: Solve for x
    x = 145,119,024,694.71/381,059.82
  6. Step 6: Final answer
    x = 380,830.04

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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.