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Finding the Fourth Proportional to 285,047.49, 427,637.78 and 82,647.83

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Solution

The fourth proportional to 285,047.49, 427,637.78 and 82,647.83 is: 123,991.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,047.49 : 427,637.78 = 82,647.83 : x
  2. Step 2: Convert to fraction form
    285,047.49/427,637.78 = 82,647.83/x
  3. Step 3: Cross multiply
    285,047.49x = 427,637.78 × 82,647.83
  4. Step 4: Simplify right side
    285,047.49x = 35,343,331,991.59
  5. Step 5: Solve for x
    x = 35,343,331,991.59/285,047.49
  6. Step 6: Final answer
    x = 123,991.03

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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.