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Finding the Fourth Proportional to 381,039.90, 570,438.72 and 254,365.95

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Solution

The fourth proportional to 381,039.90, 570,438.72 and 254,365.95 is: 380,800.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,039.90 : 570,438.72 = 254,365.95 : x
  2. Step 2: Convert to fraction form
    381,039.90/570,438.72 = 254,365.95/x
  3. Step 3: Cross multiply
    381,039.90x = 570,438.72 × 254,365.95
  4. Step 4: Simplify right side
    381,039.90x = 145,100,189,068.73
  5. Step 5: Solve for x
    x = 145,100,189,068.73/381,039.90
  6. Step 6: Final answer
    x = 380,800.52

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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.