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Finding the Fourth Proportional to 384,127.44, 575,724.60 and 271,840.68

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Solution

The fourth proportional to 384,127.44, 575,724.60 and 271,840.68 is: 407,430.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,127.44 : 575,724.60 = 271,840.68 : x
  2. Step 2: Convert to fraction form
    384,127.44/575,724.60 = 271,840.68/x
  3. Step 3: Cross multiply
    384,127.44x = 575,724.60 × 271,840.68
  4. Step 4: Simplify right side
    384,127.44x = 156,505,366,756.73
  5. Step 5: Solve for x
    x = 156,505,366,756.73/384,127.44
  6. Step 6: Final answer
    x = 407,430.84

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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.