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Finding the Fourth Proportional to 547,082.48, 820,615.21 and 280,689.28

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Solution

The fourth proportional to 547,082.48, 820,615.21 and 280,689.28 is: 421,029.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,082.48 : 820,615.21 = 280,689.28 : x
  2. Step 2: Convert to fraction form
    547,082.48/820,615.21 = 280,689.28/x
  3. Step 3: Cross multiply
    547,082.48x = 820,615.21 × 280,689.28
  4. Step 4: Simplify right side
    547,082.48x = 230,337,892,451.95
  5. Step 5: Solve for x
    x = 230,337,892,451.95/547,082.48
  6. Step 6: Final answer
    x = 421,029.55

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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.