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Finding the Fourth Proportional to 617,326.93, 851,944.16 and 345,378.54

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Solution

The fourth proportional to 617,326.93, 851,944.16 and 345,378.54 is: 476,640.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,326.93 : 851,944.16 = 345,378.54 : x
  2. Step 2: Convert to fraction form
    617,326.93/851,944.16 = 345,378.54/x
  3. Step 3: Cross multiply
    617,326.93x = 851,944.16 × 345,378.54
  4. Step 4: Simplify right side
    617,326.93x = 294,243,228,415.43
  5. Step 5: Solve for x
    x = 294,243,228,415.43/617,326.93
  6. Step 6: Final answer
    x = 476,640.85

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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.