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Finding the Fourth Proportional to 298,999.48, 412,719.24 and 178,178.68

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Solution

The fourth proportional to 298,999.48, 412,719.24 and 178,178.68 is: 245,946.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,999.48 : 412,719.24 = 178,178.68 : x
  2. Step 2: Convert to fraction form
    298,999.48/412,719.24 = 178,178.68/x
  3. Step 3: Cross multiply
    298,999.48x = 412,719.24 × 178,178.68
  4. Step 4: Simplify right side
    298,999.48x = 73,537,769,393.80
  5. Step 5: Solve for x
    x = 73,537,769,393.80/298,999.48
  6. Step 6: Final answer
    x = 245,946.14

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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.