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Finding the Fourth Proportional to 419,243.68, 628,888.47 and 119,700.82

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Solution

The fourth proportional to 419,243.68, 628,888.47 and 119,700.82 is: 179,557.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,243.68 : 628,888.47 = 119,700.82 : x
  2. Step 2: Convert to fraction form
    419,243.68/628,888.47 = 119,700.82/x
  3. Step 3: Cross multiply
    419,243.68x = 628,888.47 × 119,700.82
  4. Step 4: Simplify right side
    419,243.68x = 75,278,465,547.55
  5. Step 5: Solve for x
    x = 75,278,465,547.55/419,243.68
  6. Step 6: Final answer
    x = 179,557.78

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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.