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Finding the Fourth Proportional to 419,187.87, 631,606.19 and 345,948.48

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Solution

The fourth proportional to 419,187.87, 631,606.19 and 345,948.48 is: 521,253.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,187.87 : 631,606.19 = 345,948.48 : x
  2. Step 2: Convert to fraction form
    419,187.87/631,606.19 = 345,948.48/x
  3. Step 3: Cross multiply
    419,187.87x = 631,606.19 × 345,948.48
  4. Step 4: Simplify right side
    419,187.87x = 218,503,199,659.35
  5. Step 5: Solve for x
    x = 218,503,199,659.35/419,187.87
  6. Step 6: Final answer
    x = 521,253.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.