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Finding the Fourth Proportional to 285,512.58, 428,102.87 and 108,033.30

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Solution

The fourth proportional to 285,512.58, 428,102.87 and 108,033.30 is: 161,987.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,512.58 : 428,102.87 = 108,033.30 : x
  2. Step 2: Convert to fraction form
    285,512.58/428,102.87 = 108,033.30/x
  3. Step 3: Cross multiply
    285,512.58x = 428,102.87 × 108,033.30
  4. Step 4: Simplify right side
    285,512.58x = 46,249,365,245.40
  5. Step 5: Solve for x
    x = 46,249,365,245.40/285,512.58
  6. Step 6: Final answer
    x = 161,987.14

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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.