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Finding the Fourth Proportional to 309,327.60, 463,991.40 and 271,929.90

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Solution

The fourth proportional to 309,327.60, 463,991.40 and 271,929.90 is: 407,894.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,327.60 : 463,991.40 = 271,929.90 : x
  2. Step 2: Convert to fraction form
    309,327.60/463,991.40 = 271,929.90/x
  3. Step 3: Cross multiply
    309,327.60x = 463,991.40 × 271,929.90
  4. Step 4: Simplify right side
    309,327.60x = 126,173,135,002.86
  5. Step 5: Solve for x
    x = 126,173,135,002.86/309,327.60
  6. Step 6: Final answer
    x = 407,894.85

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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.