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Finding the Fourth Proportional to 308,042.64, 462,178.44 and 188,344.80

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Solution

The fourth proportional to 308,042.64, 462,178.44 and 188,344.80 is: 282,587.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,042.64 : 462,178.44 = 188,344.80 : x
  2. Step 2: Convert to fraction form
    308,042.64/462,178.44 = 188,344.80/x
  3. Step 3: Cross multiply
    308,042.64x = 462,178.44 × 188,344.80
  4. Step 4: Simplify right side
    308,042.64x = 87,048,905,846.11
  5. Step 5: Solve for x
    x = 87,048,905,846.11/308,042.64
  6. Step 6: Final answer
    x = 282,587.20

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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.