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Finding the Fourth Proportional to 549,659.04, 823,414.80 and 378,850.40

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Solution

The fourth proportional to 549,659.04, 823,414.80 and 378,850.40 is: 567,535.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,659.04 : 823,414.80 = 378,850.40 : x
  2. Step 2: Convert to fraction form
    549,659.04/823,414.80 = 378,850.40/x
  3. Step 3: Cross multiply
    549,659.04x = 823,414.80 × 378,850.40
  4. Step 4: Simplify right side
    549,659.04x = 311,951,026,345.92
  5. Step 5: Solve for x
    x = 311,951,026,345.92/549,659.04
  6. Step 6: Final answer
    x = 567,535.52

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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.