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Finding the Fourth Proportional to 309,192, 463,788 and 75,720

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Solution

The fourth proportional to 309,192, 463,788 and 75,720 is: 113,580

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,192 : 463,788 = 75,720 : x
  2. Step 2: Convert to fraction form
    309,192/463,788 = 75,720/x
  3. Step 3: Cross multiply
    309,192x = 463,788 × 75,720
  4. Step 4: Simplify right side
    309,192x = 35,118,027,360
  5. Step 5: Solve for x
    x = 35,118,027,360/309,192
  6. Step 6: Final answer
    x = 113,580

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.