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Finding the Fourth Proportional to 878,475, 1,212,295.56 and 476,067

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Solution

The fourth proportional to 878,475, 1,212,295.56 and 476,067 is: 656,972.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,475 : 1,212,295.56 = 476,067 : x
  2. Step 2: Convert to fraction form
    878,475/1,212,295.56 = 476,067/x
  3. Step 3: Cross multiply
    878,475x = 1,212,295.56 × 476,067
  4. Step 4: Simplify right side
    878,475x = 577,133,910,362.52
  5. Step 5: Solve for x
    x = 577,133,910,362.52/878,475
  6. Step 6: Final answer
    x = 656,972.49

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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.