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Finding the Fourth Proportional to 298,989.23, 412,705.11 and 178,168.41

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Solution

The fourth proportional to 298,989.23, 412,705.11 and 178,168.41 is: 245,931.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,989.23 : 412,705.11 = 178,168.41 : x
  2. Step 2: Convert to fraction form
    298,989.23/412,705.11 = 178,168.41/x
  3. Step 3: Cross multiply
    298,989.23x = 412,705.11 × 178,168.41
  4. Step 4: Simplify right side
    298,989.23x = 73,531,013,247.58
  5. Step 5: Solve for x
    x = 73,531,013,247.58/298,989.23
  6. Step 6: Final answer
    x = 245,931.98

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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.