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Finding the Fourth Proportional to 310,447.32, 428,742.60 and 213,902.22

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Solution

The fourth proportional to 310,447.32, 428,742.60 and 213,902.22 is: 295,409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,447.32 : 428,742.60 = 213,902.22 : x
  2. Step 2: Convert to fraction form
    310,447.32/428,742.60 = 213,902.22/x
  3. Step 3: Cross multiply
    310,447.32x = 428,742.60 × 213,902.22
  4. Step 4: Simplify right side
    310,447.32x = 91,708,993,948.57
  5. Step 5: Solve for x
    x = 91,708,993,948.57/310,447.32
  6. Step 6: Final answer
    x = 295,409.20

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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.