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Finding the Fourth Proportional to 549,858.82, 823,714.47 and 261,259.76

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Solution

The fourth proportional to 549,858.82, 823,714.47 and 261,259.76 is: 391,379.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,858.82 : 823,714.47 = 261,259.76 : x
  2. Step 2: Convert to fraction form
    549,858.82/823,714.47 = 261,259.76/x
  3. Step 3: Cross multiply
    549,858.82x = 823,714.47 × 261,259.76
  4. Step 4: Simplify right side
    549,858.82x = 215,203,444,740.73
  5. Step 5: Solve for x
    x = 215,203,444,740.73/549,858.82
  6. Step 6: Final answer
    x = 391,379.46

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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.