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Finding the Fourth Proportional to 549,042.89, 822,491.76 and 378,234.47

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Solution

The fourth proportional to 549,042.89, 822,491.76 and 378,234.47 is: 566,612.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,042.89 : 822,491.76 = 378,234.47 : x
  2. Step 2: Convert to fraction form
    549,042.89/822,491.76 = 378,234.47/x
  3. Step 3: Cross multiply
    549,042.89x = 822,491.76 × 378,234.47
  4. Step 4: Simplify right side
    549,042.89x = 311,094,734,922.97
  5. Step 5: Solve for x
    x = 311,094,734,922.97/549,042.89
  6. Step 6: Final answer
    x = 566,612.81

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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.