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Finding the Fourth Proportional to 549,858.32, 823,713.72 and 261,259.26

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Solution

The fourth proportional to 549,858.32, 823,713.72 and 261,259.26 is: 391,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,858.32 : 823,713.72 = 261,259.26 : x
  2. Step 2: Convert to fraction form
    549,858.32/823,713.72 = 261,259.26/x
  3. Step 3: Cross multiply
    549,858.32x = 823,713.72 × 261,259.26
  4. Step 4: Simplify right side
    549,858.32x = 215,202,834,763.54
  5. Step 5: Solve for x
    x = 215,202,834,763.54/549,858.32
  6. Step 6: Final answer
    x = 391,378.70

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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.