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Finding the Fourth Proportional to 1,205,977.86, 1,665,028.17 and 747,579.96

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Solution

The fourth proportional to 1,205,977.86, 1,665,028.17 and 747,579.96 is: 1,032,143.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,977.86 : 1,665,028.17 = 747,579.96 : x
  2. Step 2: Convert to fraction form
    1,205,977.86/1,665,028.17 = 747,579.96/x
  3. Step 3: Cross multiply
    1,205,977.86x = 1,665,028.17 × 747,579.96
  4. Step 4: Simplify right side
    1,205,977.86x = 1,244,741,692,727.47
  5. Step 5: Solve for x
    x = 1,244,741,692,727.47/1,205,977.86
  6. Step 6: Final answer
    x = 1,032,143.07

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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.