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Finding the Fourth Proportional to 547,742.60, 820,001.10 and 408,120.20

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Solution

The fourth proportional to 547,742.60, 820,001.10 and 408,120.20 is: 610,978.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,742.60 : 820,001.10 = 408,120.20 : x
  2. Step 2: Convert to fraction form
    547,742.60/820,001.10 = 408,120.20/x
  3. Step 3: Cross multiply
    547,742.60x = 820,001.10 × 408,120.20
  4. Step 4: Simplify right side
    547,742.60x = 334,659,012,932.22
  5. Step 5: Solve for x
    x = 334,659,012,932.22/547,742.60
  6. Step 6: Final answer
    x = 610,978.61

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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.