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Finding the Fourth Proportional to 285,099.78, 427,354.40 and 234,649.80

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Solution

The fourth proportional to 285,099.78, 427,354.40 and 234,649.80 is: 351,731.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,099.78 : 427,354.40 = 234,649.80 : x
  2. Step 2: Convert to fraction form
    285,099.78/427,354.40 = 234,649.80/x
  3. Step 3: Cross multiply
    285,099.78x = 427,354.40 × 234,649.80
  4. Step 4: Simplify right side
    285,099.78x = 100,278,624,489.12
  5. Step 5: Solve for x
    x = 100,278,624,489.12/285,099.78
  6. Step 6: Final answer
    x = 351,731.68

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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.