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Finding the Fourth Proportional to 285,396.96, 428,100.24 and 107,987.52

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Solution

The fourth proportional to 285,396.96, 428,100.24 and 107,987.52 is: 161,983.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,396.96 : 428,100.24 = 107,987.52 : x
  2. Step 2: Convert to fraction form
    285,396.96/428,100.24 = 107,987.52/x
  3. Step 3: Cross multiply
    285,396.96x = 428,100.24 × 107,987.52
  4. Step 4: Simplify right side
    285,396.96x = 46,229,483,229.00
  5. Step 5: Solve for x
    x = 46,229,483,229.00/285,396.96
  6. Step 6: Final answer
    x = 161,983.10

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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.