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Finding the Fourth Proportional to 549,036.23, 822,481.72 and 378,227.77

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Solution

The fourth proportional to 549,036.23, 822,481.72 and 378,227.77 is: 566,602.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,036.23 : 822,481.72 = 378,227.77 : x
  2. Step 2: Convert to fraction form
    549,036.23/822,481.72 = 378,227.77/x
  3. Step 3: Cross multiply
    549,036.23x = 822,481.72 × 378,227.77
  4. Step 4: Simplify right side
    549,036.23x = 311,085,423,819.59
  5. Step 5: Solve for x
    x = 311,085,423,819.59/549,036.23
  6. Step 6: Final answer
    x = 566,602.73

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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.