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Finding the Fourth Proportional to 285,767.64, 428,609.32 and 75,420.36

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Solution

The fourth proportional to 285,767.64, 428,609.32 and 75,420.36 is: 113,119.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,767.64 : 428,609.32 = 75,420.36 : x
  2. Step 2: Convert to fraction form
    285,767.64/428,609.32 = 75,420.36/x
  3. Step 3: Cross multiply
    285,767.64x = 428,609.32 × 75,420.36
  4. Step 4: Simplify right side
    285,767.64x = 32,325,869,213.76
  5. Step 5: Solve for x
    x = 32,325,869,213.76/285,767.64
  6. Step 6: Final answer
    x = 113,119.42

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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.