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Finding the Fourth Proportional to 397,884.25, 549,080.25 and 216,597.49

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Solution

The fourth proportional to 397,884.25, 549,080.25 and 216,597.49 is: 298,904.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,884.25 : 549,080.25 = 216,597.49 : x
  2. Step 2: Convert to fraction form
    397,884.25/549,080.25 = 216,597.49/x
  3. Step 3: Cross multiply
    397,884.25x = 549,080.25 × 216,597.49
  4. Step 4: Simplify right side
    397,884.25x = 118,929,403,958.57
  5. Step 5: Solve for x
    x = 118,929,403,958.57/397,884.25
  6. Step 6: Final answer
    x = 298,904.53

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1.5x scale

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.