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Finding the Fourth Proportional to 549,268.40, 823,902.60 and 538,209.20

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Solution

The fourth proportional to 549,268.40, 823,902.60 and 538,209.20 is: 807,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,268.40 : 823,902.60 = 538,209.20 : x
  2. Step 2: Convert to fraction form
    549,268.40/823,902.60 = 538,209.20/x
  3. Step 3: Cross multiply
    549,268.40x = 823,902.60 × 538,209.20
  4. Step 4: Simplify right side
    549,268.40x = 443,431,959,223.92
  5. Step 5: Solve for x
    x = 443,431,959,223.92/549,268.40
  6. Step 6: Final answer
    x = 807,313.80

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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.