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Finding the Fourth Proportional to 533,419.20, 800,582.40 and 218,102.40

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Solution

The fourth proportional to 533,419.20, 800,582.40 and 218,102.40 is: 327,339.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,419.20 : 800,582.40 = 218,102.40 : x
  2. Step 2: Convert to fraction form
    533,419.20/800,582.40 = 218,102.40/x
  3. Step 3: Cross multiply
    533,419.20x = 800,582.40 × 218,102.40
  4. Step 4: Simplify right side
    533,419.20x = 174,608,942,837.76
  5. Step 5: Solve for x
    x = 174,608,942,837.76/533,419.20
  6. Step 6: Final answer
    x = 327,339.07

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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.