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Finding the Fourth Proportional to 285,242.72, 427,874.00 and 135,405.81

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Solution

The fourth proportional to 285,242.72, 427,874.00 and 135,405.81 is: 203,113.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,242.72 : 427,874.00 = 135,405.81 : x
  2. Step 2: Convert to fraction form
    285,242.72/427,874.00 = 135,405.81/x
  3. Step 3: Cross multiply
    285,242.72x = 427,874.00 × 135,405.81
  4. Step 4: Simplify right side
    285,242.72x = 57,936,624,870.91
  5. Step 5: Solve for x
    x = 57,936,624,870.91/285,242.72
  6. Step 6: Final answer
    x = 203,113.43

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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.