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Finding the Fourth Proportional to 285,975.62, 428,854.17 and 96,385.05

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Solution

The fourth proportional to 285,975.62, 428,854.17 and 96,385.05 is: 144,540.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,975.62 : 428,854.17 = 96,385.05 : x
  2. Step 2: Convert to fraction form
    285,975.62/428,854.17 = 96,385.05/x
  3. Step 3: Cross multiply
    285,975.62x = 428,854.17 × 96,385.05
  4. Step 4: Simplify right side
    285,975.62x = 41,335,130,618.16
  5. Step 5: Solve for x
    x = 41,335,130,618.16/285,975.62
  6. Step 6: Final answer
    x = 144,540.75

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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.