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Finding the Fourth Proportional to 549,032.80, 823,691.24 and 321,520.64

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Solution

The fourth proportional to 549,032.80, 823,691.24 and 321,520.64 is: 482,364.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,032.80 : 823,691.24 = 321,520.64 : x
  2. Step 2: Convert to fraction form
    549,032.80/823,691.24 = 321,520.64/x
  3. Step 3: Cross multiply
    549,032.80x = 823,691.24 × 321,520.64
  4. Step 4: Simplify right side
    549,032.80x = 264,833,734,647.19
  5. Step 5: Solve for x
    x = 264,833,734,647.19/549,032.80
  6. Step 6: Final answer
    x = 482,364.14

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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.