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Finding the Fourth Proportional to 309,833.51, 464,690.12 and 85,136.27

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Solution

The fourth proportional to 309,833.51, 464,690.12 and 85,136.27 is: 127,687.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,833.51 : 464,690.12 = 85,136.27 : x
  2. Step 2: Convert to fraction form
    309,833.51/464,690.12 = 85,136.27/x
  3. Step 3: Cross multiply
    309,833.51x = 464,690.12 × 85,136.27
  4. Step 4: Simplify right side
    309,833.51x = 39,561,980,773.52
  5. Step 5: Solve for x
    x = 39,561,980,773.52/309,833.51
  6. Step 6: Final answer
    x = 127,687.87

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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.