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Finding the Fourth Proportional to 549,014.78, 823,664.15 and 321,502.54

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Solution

The fourth proportional to 549,014.78, 823,664.15 and 321,502.54 is: 482,336.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,014.78 : 823,664.15 = 321,502.54 : x
  2. Step 2: Convert to fraction form
    549,014.78/823,664.15 = 321,502.54/x
  3. Step 3: Cross multiply
    549,014.78x = 823,664.15 × 321,502.54
  4. Step 4: Simplify right side
    549,014.78x = 264,810,114,002.94
  5. Step 5: Solve for x
    x = 264,810,114,002.94/549,014.78
  6. Step 6: Final answer
    x = 482,336.95

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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.