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Finding the Fourth Proportional to 549,859.08, 823,714.85 and 261,260.00

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Solution

The fourth proportional to 549,859.08, 823,714.85 and 261,260.00 is: 391,379.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,859.08 : 823,714.85 = 261,260.00 : x
  2. Step 2: Convert to fraction form
    549,859.08/823,714.85 = 261,260.00/x
  3. Step 3: Cross multiply
    549,859.08x = 823,714.85 × 261,260.00
  4. Step 4: Simplify right side
    549,859.08x = 215,203,741,334.51
  5. Step 5: Solve for x
    x = 215,203,741,334.51/549,859.08
  6. Step 6: Final answer
    x = 391,379.81

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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.