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Finding the Fourth Proportional to 549,714.56, 823,850.88 and 398,419.84

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Solution

The fourth proportional to 549,714.56, 823,850.88 and 398,419.84 is: 597,107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,714.56 : 823,850.88 = 398,419.84 : x
  2. Step 2: Convert to fraction form
    549,714.56/823,850.88 = 398,419.84/x
  3. Step 3: Cross multiply
    549,714.56x = 823,850.88 × 398,419.84
  4. Step 4: Simplify right side
    549,714.56x = 328,238,535,793.46
  5. Step 5: Solve for x
    x = 328,238,535,793.46/549,714.56
  6. Step 6: Final answer
    x = 597,107.23

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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.