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Finding the Fourth Proportional to 491,919.68, 737,957.16 and 172,160.84

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Solution

The fourth proportional to 491,919.68, 737,957.16 and 172,160.84 is: 258,268.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,919.68 : 737,957.16 = 172,160.84 : x
  2. Step 2: Convert to fraction form
    491,919.68/737,957.16 = 172,160.84/x
  3. Step 3: Cross multiply
    491,919.68x = 737,957.16 × 172,160.84
  4. Step 4: Simplify right side
    491,919.68x = 127,047,324,549.61
  5. Step 5: Solve for x
    x = 127,047,324,549.61/491,919.68
  6. Step 6: Final answer
    x = 258,268.43

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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.