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Finding the Fourth Proportional to 285,697.09, 428,169.65 and 159,396.80

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Solution

The fourth proportional to 285,697.09, 428,169.65 and 159,396.80 is: 238,885.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,697.09 : 428,169.65 = 159,396.80 : x
  2. Step 2: Convert to fraction form
    285,697.09/428,169.65 = 159,396.80/x
  3. Step 3: Cross multiply
    285,697.09x = 428,169.65 × 159,396.80
  4. Step 4: Simplify right side
    285,697.09x = 68,248,872,741.97
  5. Step 5: Solve for x
    x = 68,248,872,741.97/285,697.09
  6. Step 6: Final answer
    x = 238,885.43

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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.