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Finding the Fourth Proportional to 419,043.53, 628,461.16 and 119,526.69

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Solution

The fourth proportional to 419,043.53, 628,461.16 and 119,526.69 is: 179,260.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,043.53 : 628,461.16 = 119,526.69 : x
  2. Step 2: Convert to fraction form
    419,043.53/628,461.16 = 119,526.69/x
  3. Step 3: Cross multiply
    419,043.53x = 628,461.16 × 119,526.69
  4. Step 4: Simplify right side
    419,043.53x = 75,117,881,949.54
  5. Step 5: Solve for x
    x = 75,117,881,949.54/419,043.53
  6. Step 6: Final answer
    x = 179,260.33

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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.