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Finding the Fourth Proportional to 285,343.76, 427,706.73 and 185,575.56

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Solution

The fourth proportional to 285,343.76, 427,706.73 and 185,575.56 is: 278,162.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,343.76 : 427,706.73 = 185,575.56 : x
  2. Step 2: Convert to fraction form
    285,343.76/427,706.73 = 185,575.56/x
  3. Step 3: Cross multiply
    285,343.76x = 427,706.73 × 185,575.56
  4. Step 4: Simplify right side
    285,343.76x = 79,371,914,331.62
  5. Step 5: Solve for x
    x = 79,371,914,331.62/285,343.76
  6. Step 6: Final answer
    x = 278,162.43

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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.