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Finding the Fourth Proportional to 549,016.89, 823,667.31 and 321,504.64

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Solution

The fourth proportional to 549,016.89, 823,667.31 and 321,504.64 is: 482,340.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,016.89 : 823,667.31 = 321,504.64 : x
  2. Step 2: Convert to fraction form
    549,016.89/823,667.31 = 321,504.64/x
  3. Step 3: Cross multiply
    549,016.89x = 823,667.31 × 321,504.64
  4. Step 4: Simplify right side
    549,016.89x = 264,812,861,981.32
  5. Step 5: Solve for x
    x = 264,812,861,981.32/549,016.89
  6. Step 6: Final answer
    x = 482,340.11

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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.