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Finding the Fourth Proportional to 547,012.80, 820,162.80 and 491,025.60

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Solution

The fourth proportional to 547,012.80, 820,162.80 and 491,025.60 is: 736,218.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,012.80 : 820,162.80 = 491,025.60 : x
  2. Step 2: Convert to fraction form
    547,012.80/820,162.80 = 491,025.60/x
  3. Step 3: Cross multiply
    547,012.80x = 820,162.80 × 491,025.60
  4. Step 4: Simplify right side
    547,012.80x = 402,720,930,967.68
  5. Step 5: Solve for x
    x = 402,720,930,967.68/547,012.80
  6. Step 6: Final answer
    x = 736,218.48

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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.