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Finding the Fourth Proportional to 285,954.30, 428,926.59 and 108,457.38

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Solution

The fourth proportional to 285,954.30, 428,926.59 and 108,457.38 is: 162,684.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,954.30 : 428,926.59 = 108,457.38 : x
  2. Step 2: Convert to fraction form
    285,954.30/428,926.59 = 108,457.38/x
  3. Step 3: Cross multiply
    285,954.30x = 428,926.59 × 108,457.38
  4. Step 4: Simplify right side
    285,954.30x = 46,520,254,163.73
  5. Step 5: Solve for x
    x = 46,520,254,163.73/285,954.30
  6. Step 6: Final answer
    x = 162,684.23

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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.