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Finding the Fourth Proportional to 549,484.32, 823,229.80 and 405,745.96

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Solution

The fourth proportional to 549,484.32, 823,229.80 and 405,745.96 is: 607,882.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,484.32 : 823,229.80 = 405,745.96 : x
  2. Step 2: Convert to fraction form
    549,484.32/823,229.80 = 405,745.96/x
  3. Step 3: Cross multiply
    549,484.32x = 823,229.80 × 405,745.96
  4. Step 4: Simplify right side
    549,484.32x = 334,022,165,501.61
  5. Step 5: Solve for x
    x = 334,022,165,501.61/549,484.32
  6. Step 6: Final answer
    x = 607,882.98

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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.