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Finding the Fourth Proportional to 298,705.76, 412,126.08 and 177,786.28

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Solution

The fourth proportional to 298,705.76, 412,126.08 and 177,786.28 is: 245,292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,705.76 : 412,126.08 = 177,786.28 : x
  2. Step 2: Convert to fraction form
    298,705.76/412,126.08 = 177,786.28/x
  3. Step 3: Cross multiply
    298,705.76x = 412,126.08 × 177,786.28
  4. Step 4: Simplify right side
    298,705.76x = 73,270,362,654.18
  5. Step 5: Solve for x
    x = 73,270,362,654.18/298,705.76
  6. Step 6: Final answer
    x = 245,292.77

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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.