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Finding the Fourth Proportional to 351,617.64, 485,232.90 and 208,448.04

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Solution

The fourth proportional to 351,617.64, 485,232.90 and 208,448.04 is: 287,658.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,617.64 : 485,232.90 = 208,448.04 : x
  2. Step 2: Convert to fraction form
    351,617.64/485,232.90 = 208,448.04/x
  3. Step 3: Cross multiply
    351,617.64x = 485,232.90 × 208,448.04
  4. Step 4: Simplify right side
    351,617.64x = 101,145,846,948.52
  5. Step 5: Solve for x
    x = 101,145,846,948.52/351,617.64
  6. Step 6: Final answer
    x = 287,658.63

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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.