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Finding the Fourth Proportional to 298,996.60, 412,715.28 and 178,175.78

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Solution

The fourth proportional to 298,996.60, 412,715.28 and 178,175.78 is: 245,942.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,996.60 : 412,715.28 = 178,175.78 : x
  2. Step 2: Convert to fraction form
    298,996.60/412,715.28 = 178,175.78/x
  3. Step 3: Cross multiply
    298,996.60x = 412,715.28 × 178,175.78
  4. Step 4: Simplify right side
    298,996.60x = 73,535,866,931.92
  5. Step 5: Solve for x
    x = 73,535,866,931.92/298,996.60
  6. Step 6: Final answer
    x = 245,942.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.