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Finding the Fourth Proportional to 283,276.80, 424,915.20 and 280,324.35

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Solution

The fourth proportional to 283,276.80, 424,915.20 and 280,324.35 is: 420,486.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,276.80 : 424,915.20 = 280,324.35 : x
  2. Step 2: Convert to fraction form
    283,276.80/424,915.20 = 280,324.35/x
  3. Step 3: Cross multiply
    283,276.80x = 424,915.20 × 280,324.35
  4. Step 4: Simplify right side
    283,276.80x = 119,114,077,245.12
  5. Step 5: Solve for x
    x = 119,114,077,245.12/283,276.80
  6. Step 6: Final answer
    x = 420,486.53

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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.