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Finding the Fourth Proportional to 467,839.50, 645,617.74 and 263,889.80

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Solution

The fourth proportional to 467,839.50, 645,617.74 and 263,889.80 is: 364,167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,839.50 : 645,617.74 = 263,889.80 : x
  2. Step 2: Convert to fraction form
    467,839.50/645,617.74 = 263,889.80/x
  3. Step 3: Cross multiply
    467,839.50x = 645,617.74 × 263,889.80
  4. Step 4: Simplify right side
    467,839.50x = 170,371,935,313.10
  5. Step 5: Solve for x
    x = 170,371,935,313.10/467,839.50
  6. Step 6: Final answer
    x = 364,167.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.