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Finding the Fourth Proportional to 380,370.60, 570,234.78 and 239,819.40

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Solution

The fourth proportional to 380,370.60, 570,234.78 and 239,819.40 is: 359,526.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,370.60 : 570,234.78 = 239,819.40 : x
  2. Step 2: Convert to fraction form
    380,370.60/570,234.78 = 239,819.40/x
  3. Step 3: Cross multiply
    380,370.60x = 570,234.78 × 239,819.40
  4. Step 4: Simplify right side
    380,370.60x = 136,753,362,798.73
  5. Step 5: Solve for x
    x = 136,753,362,798.73/380,370.60
  6. Step 6: Final answer
    x = 359,526.64

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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.