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Finding the Fourth Proportional to 397,832.25, 549,020.18 and 216,556

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Solution

The fourth proportional to 397,832.25, 549,020.18 and 216,556 is: 298,853.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,832.25 : 549,020.18 = 216,556 : x
  2. Step 2: Convert to fraction form
    397,832.25/549,020.18 = 216,556/x
  3. Step 3: Cross multiply
    397,832.25x = 549,020.18 × 216,556
  4. Step 4: Simplify right side
    397,832.25x = 118,893,614,100.08
  5. Step 5: Solve for x
    x = 118,893,614,100.08/397,832.25
  6. Step 6: Final answer
    x = 298,853.64

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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.