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Finding the Fourth Proportional to 285,516.34, 428,241.39 and 75,170.68

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Solution

The fourth proportional to 285,516.34, 428,241.39 and 75,170.68 is: 112,747.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,516.34 : 428,241.39 = 75,170.68 : x
  2. Step 2: Convert to fraction form
    285,516.34/428,241.39 = 75,170.68/x
  3. Step 3: Cross multiply
    285,516.34x = 428,241.39 × 75,170.68
  4. Step 4: Simplify right side
    285,516.34x = 32,191,196,490.45
  5. Step 5: Solve for x
    x = 32,191,196,490.45/285,516.34
  6. Step 6: Final answer
    x = 112,747.30

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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.