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Finding the Fourth Proportional to 397,842.39, 549,021.96 and 216,553.77

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Solution

The fourth proportional to 397,842.39, 549,021.96 and 216,553.77 is: 298,843.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,842.39 : 549,021.96 = 216,553.77 : x
  2. Step 2: Convert to fraction form
    397,842.39/549,021.96 = 216,553.77/x
  3. Step 3: Cross multiply
    397,842.39x = 549,021.96 × 216,553.77
  4. Step 4: Simplify right side
    397,842.39x = 118,892,775,250.79
  5. Step 5: Solve for x
    x = 118,892,775,250.79/397,842.39
  6. Step 6: Final answer
    x = 298,843.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.