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Finding the Fourth Proportional to 549,018.89, 823,670.31 and 321,506.64

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Solution

The fourth proportional to 549,018.89, 823,670.31 and 321,506.64 is: 482,343.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,018.89 : 823,670.31 = 321,506.64 : x
  2. Step 2: Convert to fraction form
    549,018.89/823,670.31 = 321,506.64/x
  3. Step 3: Cross multiply
    549,018.89x = 823,670.31 × 321,506.64
  4. Step 4: Simplify right side
    549,018.89x = 264,815,473,835.86
  5. Step 5: Solve for x
    x = 264,815,473,835.86/549,018.89
  6. Step 6: Final answer
    x = 482,343.10

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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.