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Finding the Fourth Proportional to 538,015.01, 805,972.63 and 419,129.69

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Solution

The fourth proportional to 538,015.01, 805,972.63 and 419,129.69 is: 627,876.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,015.01 : 805,972.63 = 419,129.69 : x
  2. Step 2: Convert to fraction form
    538,015.01/805,972.63 = 419,129.69/x
  3. Step 3: Cross multiply
    538,015.01x = 805,972.63 × 419,129.69
  4. Step 4: Simplify right side
    538,015.01x = 337,807,052,434.87
  5. Step 5: Solve for x
    x = 337,807,052,434.87/538,015.01
  6. Step 6: Final answer
    x = 627,876.64

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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.