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Finding the Fourth Proportional to 546,576.63, 820,114.07 and 280,523.98

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Solution

The fourth proportional to 546,576.63, 820,114.07 and 280,523.98 is: 420,913.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,576.63 : 820,114.07 = 280,523.98 : x
  2. Step 2: Convert to fraction form
    546,576.63/820,114.07 = 280,523.98/x
  3. Step 3: Cross multiply
    546,576.63x = 820,114.07 × 280,523.98
  4. Step 4: Simplify right side
    546,576.63x = 230,061,664,899.49
  5. Step 5: Solve for x
    x = 230,061,664,899.49/546,576.63
  6. Step 6: Final answer
    x = 420,913.83

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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.