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Finding the Fourth Proportional to 298,735.68, 412,166.80 and 177,780

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Solution

The fourth proportional to 298,735.68, 412,166.80 and 177,780 is: 245,283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,735.68 : 412,166.80 = 177,780 : x
  2. Step 2: Convert to fraction form
    298,735.68/412,166.80 = 177,780/x
  3. Step 3: Cross multiply
    298,735.68x = 412,166.80 × 177,780
  4. Step 4: Simplify right side
    298,735.68x = 73,275,013,704
  5. Step 5: Solve for x
    x = 73,275,013,704/298,735.68
  6. Step 6: Final answer
    x = 245,283.77

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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.