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Finding the Fourth Proportional to 442,251.64, 610,690.04 and 419,551.02

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Solution

The fourth proportional to 442,251.64, 610,690.04 and 419,551.02 is: 579,343.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,251.64 : 610,690.04 = 419,551.02 : x
  2. Step 2: Convert to fraction form
    442,251.64/610,690.04 = 419,551.02/x
  3. Step 3: Cross multiply
    442,251.64x = 610,690.04 × 419,551.02
  4. Step 4: Simplify right side
    442,251.64x = 256,215,629,185.84
  5. Step 5: Solve for x
    x = 256,215,629,185.84/442,251.64
  6. Step 6: Final answer
    x = 579,343.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.