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Finding the Fourth Proportional to 549,418.26, 824,408.64 and 261,555.66

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Solution

The fourth proportional to 549,418.26, 824,408.64 and 261,555.66 is: 392,467.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,418.26 : 824,408.64 = 261,555.66 : x
  2. Step 2: Convert to fraction form
    549,418.26/824,408.64 = 261,555.66/x
  3. Step 3: Cross multiply
    549,418.26x = 824,408.64 × 261,555.66
  4. Step 4: Simplify right side
    549,418.26x = 215,628,745,944.90
  5. Step 5: Solve for x
    x = 215,628,745,944.90/549,418.26
  6. Step 6: Final answer
    x = 392,467.38

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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.