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Finding the Fourth Proportional to 243,958.40, 366,812.40 and 205,467.20

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Solution

The fourth proportional to 243,958.40, 366,812.40 and 205,467.20 is: 308,937.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,958.40 : 366,812.40 = 205,467.20 : x
  2. Step 2: Convert to fraction form
    243,958.40/366,812.40 = 205,467.20/x
  3. Step 3: Cross multiply
    243,958.40x = 366,812.40 × 205,467.20
  4. Step 4: Simplify right side
    243,958.40x = 75,367,916,753.28
  5. Step 5: Solve for x
    x = 75,367,916,753.28/243,958.40
  6. Step 6: Final answer
    x = 308,937.58

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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.