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Finding the Fourth Proportional to 285,748.43, 428,589.81 and 75,402.77

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Solution

The fourth proportional to 285,748.43, 428,589.81 and 75,402.77 is: 113,095.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,748.43 : 428,589.81 = 75,402.77 : x
  2. Step 2: Convert to fraction form
    285,748.43/428,589.81 = 75,402.77/x
  3. Step 3: Cross multiply
    285,748.43x = 428,589.81 × 75,402.77
  4. Step 4: Simplify right side
    285,748.43x = 32,316,856,724.82
  5. Step 5: Solve for x
    x = 32,316,856,724.82/285,748.43
  6. Step 6: Final answer
    x = 113,095.49

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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.