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Finding the Fourth Proportional to 228,097.20, 342,145.80 and 205,978.80

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Solution

The fourth proportional to 228,097.20, 342,145.80 and 205,978.80 is: 308,968.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,097.20 : 342,145.80 = 205,978.80 : x
  2. Step 2: Convert to fraction form
    228,097.20/342,145.80 = 205,978.80/x
  3. Step 3: Cross multiply
    228,097.20x = 342,145.80 × 205,978.80
  4. Step 4: Simplify right side
    228,097.20x = 70,474,781,309.04
  5. Step 5: Solve for x
    x = 70,474,781,309.04/228,097.20
  6. Step 6: Final answer
    x = 308,968.20

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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.