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Finding the Fourth Proportional to 737,687.82, 1,017,999.18 and 415,401.78

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Solution

The fourth proportional to 737,687.82, 1,017,999.18 and 415,401.78 is: 573,248.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,687.82 : 1,017,999.18 = 415,401.78 : x
  2. Step 2: Convert to fraction form
    737,687.82/1,017,999.18 = 415,401.78/x
  3. Step 3: Cross multiply
    737,687.82x = 1,017,999.18 × 415,401.78
  4. Step 4: Simplify right side
    737,687.82x = 422,878,671,410.54
  5. Step 5: Solve for x
    x = 422,878,671,410.54/737,687.82
  6. Step 6: Final answer
    x = 573,248.82

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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.