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Finding the Fourth Proportional to 295,729.60, 442,816.80 and 216,414.40

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Solution

The fourth proportional to 295,729.60, 442,816.80 and 216,414.40 is: 324,052.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,729.60 : 442,816.80 = 216,414.40 : x
  2. Step 2: Convert to fraction form
    295,729.60/442,816.80 = 216,414.40/x
  3. Step 3: Cross multiply
    295,729.60x = 442,816.80 × 216,414.40
  4. Step 4: Simplify right side
    295,729.60x = 95,831,932,081.92
  5. Step 5: Solve for x
    x = 95,831,932,081.92/295,729.60
  6. Step 6: Final answer
    x = 324,052.55

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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.