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Finding the Fourth Proportional to 1,206,451.02, 1,809,675 and 307,892.78

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Solution

The fourth proportional to 1,206,451.02, 1,809,675 and 307,892.78 is: 461,838.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,451.02 : 1,809,675 = 307,892.78 : x
  2. Step 2: Convert to fraction form
    1,206,451.02/1,809,675 = 307,892.78/x
  3. Step 3: Cross multiply
    1,206,451.02x = 1,809,675 × 307,892.78
  4. Step 4: Simplify right side
    1,206,451.02x = 557,185,866,646.50
  5. Step 5: Solve for x
    x = 557,185,866,646.50/1,206,451.02
  6. Step 6: Final answer
    x = 461,838.78

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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.