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Finding the Fourth Proportional to 1,317,687.76, 1,976,531.64 and 419,129.65

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Solution

The fourth proportional to 1,317,687.76, 1,976,531.64 and 419,129.65 is: 628,694.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317,687.76 : 1,976,531.64 = 419,129.65 : x
  2. Step 2: Convert to fraction form
    1,317,687.76/1,976,531.64 = 419,129.65/x
  3. Step 3: Cross multiply
    1,317,687.76x = 1,976,531.64 × 419,129.65
  4. Step 4: Simplify right side
    1,317,687.76x = 828,423,004,268.06
  5. Step 5: Solve for x
    x = 828,423,004,268.06/1,317,687.76
  6. Step 6: Final answer
    x = 628,694.47

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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.