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Finding the Fourth Proportional to 298,980.82, 412,585.86 and 163,015.03

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Solution

The fourth proportional to 298,980.82, 412,585.86 and 163,015.03 is: 224,956.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,980.82 : 412,585.86 = 163,015.03 : x
  2. Step 2: Convert to fraction form
    298,980.82/412,585.86 = 163,015.03/x
  3. Step 3: Cross multiply
    298,980.82x = 412,585.86 × 163,015.03
  4. Step 4: Simplify right side
    298,980.82x = 67,257,696,345.48
  5. Step 5: Solve for x
    x = 67,257,696,345.48/298,980.82
  6. Step 6: Final answer
    x = 224,956.56

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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.