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Finding the Fourth Proportional to 505,446, 758,212.74 and 131,469

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Solution

The fourth proportional to 505,446, 758,212.74 and 131,469 is: 197,214.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,446 : 758,212.74 = 131,469 : x
  2. Step 2: Convert to fraction form
    505,446/758,212.74 = 131,469/x
  3. Step 3: Cross multiply
    505,446x = 758,212.74 × 131,469
  4. Step 4: Simplify right side
    505,446x = 99,681,470,715.06
  5. Step 5: Solve for x
    x = 99,681,470,715.06/505,446
  6. Step 6: Final answer
    x = 197,214.88

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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.