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Finding the Fourth Proportional to 309,867.50, 464,997.84 and 132,375.80

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Solution

The fourth proportional to 309,867.50, 464,997.84 and 132,375.80 is: 198,647.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,867.50 : 464,997.84 = 132,375.80 : x
  2. Step 2: Convert to fraction form
    309,867.50/464,997.84 = 132,375.80/x
  3. Step 3: Cross multiply
    309,867.50x = 464,997.84 × 132,375.80
  4. Step 4: Simplify right side
    309,867.50x = 61,554,461,068.27
  5. Step 5: Solve for x
    x = 61,554,461,068.27/309,867.50
  6. Step 6: Final answer
    x = 198,647.68

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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.