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Finding the Fourth Proportional to 298,993.10, 412,710.45 and 178,172.28

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Solution

The fourth proportional to 298,993.10, 412,710.45 and 178,172.28 is: 245,937.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,993.10 : 412,710.45 = 178,172.28 : x
  2. Step 2: Convert to fraction form
    298,993.10/412,710.45 = 178,172.28/x
  3. Step 3: Cross multiply
    298,993.10x = 412,710.45 × 178,172.28
  4. Step 4: Simplify right side
    298,993.10x = 73,533,561,856.33
  5. Step 5: Solve for x
    x = 73,533,561,856.33/298,993.10
  6. Step 6: Final answer
    x = 245,937.32

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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.