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Finding the Fourth Proportional to 547,666.28, 819,984.54 and 280,851.56

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Solution

The fourth proportional to 547,666.28, 819,984.54 and 280,851.56 is: 420,500.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,666.28 : 819,984.54 = 280,851.56 : x
  2. Step 2: Convert to fraction form
    547,666.28/819,984.54 = 280,851.56/x
  3. Step 3: Cross multiply
    547,666.28x = 819,984.54 × 280,851.56
  4. Step 4: Simplify right side
    547,666.28x = 230,293,937,234.88
  5. Step 5: Solve for x
    x = 230,293,937,234.88/547,666.28
  6. Step 6: Final answer
    x = 420,500.49

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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.